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Finding the Fourth Proportional to 3,947.84, 5,927.16 and 2,482.64

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Solution

The fourth proportional to 3,947.84, 5,927.16 and 2,482.64 is: 3,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.84 : 5,927.16 = 2,482.64 : x
  2. Step 2: Convert to fraction form
    3,947.84/5,927.16 = 2,482.64/x
  3. Step 3: Cross multiply
    3,947.84x = 5,927.16 × 2,482.64
  4. Step 4: Simplify right side
    3,947.84x = 14,715,004.50
  5. Step 5: Solve for x
    x = 14,715,004.50/3,947.84
  6. Step 6: Final answer
    x = 3,727.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.