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Finding the Fourth Proportional to 4,471.47, 6,184.49 and 3,536.51

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Solution

The fourth proportional to 4,471.47, 6,184.49 and 3,536.51 is: 4,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.47 : 6,184.49 = 3,536.51 : x
  2. Step 2: Convert to fraction form
    4,471.47/6,184.49 = 3,536.51/x
  3. Step 3: Cross multiply
    4,471.47x = 6,184.49 × 3,536.51
  4. Step 4: Simplify right side
    4,471.47x = 21,871,462.12
  5. Step 5: Solve for x
    x = 21,871,462.12/4,471.47
  6. Step 6: Final answer
    x = 4,891.34

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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.