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Finding the Fourth Proportional to 5,046,791.84, 6,964,482.80 and 2,871,288.16

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Solution

The fourth proportional to 5,046,791.84, 6,964,482.80 and 2,871,288.16 is: 3,962,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046,791.84 : 6,964,482.80 = 2,871,288.16 : x
  2. Step 2: Convert to fraction form
    5,046,791.84/6,964,482.80 = 2,871,288.16/x
  3. Step 3: Cross multiply
    5,046,791.84x = 6,964,482.80 × 2,871,288.16
  4. Step 4: Simplify right side
    5,046,791.84x = 19,997,037,004,163.65
  5. Step 5: Solve for x
    x = 19,997,037,004,163.65/5,046,791.84
  6. Step 6: Final answer
    x = 3,962,326.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.