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Finding the Fourth Proportional to 3,707.69, 5,118.45 and 2,534.90

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Solution

The fourth proportional to 3,707.69, 5,118.45 and 2,534.90 is: 3,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.69 : 5,118.45 = 2,534.90 : x
  2. Step 2: Convert to fraction form
    3,707.69/5,118.45 = 2,534.90/x
  3. Step 3: Cross multiply
    3,707.69x = 5,118.45 × 2,534.90
  4. Step 4: Simplify right side
    3,707.69x = 12,974,758.91
  5. Step 5: Solve for x
    x = 12,974,758.91/3,707.69
  6. Step 6: Final answer
    x = 3,499.42

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