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Finding the Fourth Proportional to 4,565.50, 6,849.27 and 1,402.71

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Solution

The fourth proportional to 4,565.50, 6,849.27 and 1,402.71 is: 2,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.50 : 6,849.27 = 1,402.71 : x
  2. Step 2: Convert to fraction form
    4,565.50/6,849.27 = 1,402.71/x
  3. Step 3: Cross multiply
    4,565.50x = 6,849.27 × 1,402.71
  4. Step 4: Simplify right side
    4,565.50x = 9,607,539.52
  5. Step 5: Solve for x
    x = 9,607,539.52/4,565.50
  6. Step 6: Final answer
    x = 2,104.38

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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.