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Finding the Fourth Proportional to 3,689.96, 5,092.69 and 2,430.82

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Solution

The fourth proportional to 3,689.96, 5,092.69 and 2,430.82 is: 3,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.96 : 5,092.69 = 2,430.82 : x
  2. Step 2: Convert to fraction form
    3,689.96/5,092.69 = 2,430.82/x
  3. Step 3: Cross multiply
    3,689.96x = 5,092.69 × 2,430.82
  4. Step 4: Simplify right side
    3,689.96x = 12,379,412.71
  5. Step 5: Solve for x
    x = 12,379,412.71/3,689.96
  6. Step 6: Final answer
    x = 3,354.89

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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.