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Finding the Fourth Proportional to 3,637.71, 5,458.53 and 1,446.47

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Solution

The fourth proportional to 3,637.71, 5,458.53 and 1,446.47 is: 2,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.71 : 5,458.53 = 1,446.47 : x
  2. Step 2: Convert to fraction form
    3,637.71/5,458.53 = 1,446.47/x
  3. Step 3: Cross multiply
    3,637.71x = 5,458.53 × 1,446.47
  4. Step 4: Simplify right side
    3,637.71x = 7,895,572.60
  5. Step 5: Solve for x
    x = 7,895,572.60/3,637.71
  6. Step 6: Final answer
    x = 2,170.48

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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.