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Finding the Fourth Proportional to 5,731.98, 7,909.56 and 3,494.40

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Solution

The fourth proportional to 5,731.98, 7,909.56 and 3,494.40 is: 4,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.98 : 7,909.56 = 3,494.40 : x
  2. Step 2: Convert to fraction form
    5,731.98/7,909.56 = 3,494.40/x
  3. Step 3: Cross multiply
    5,731.98x = 7,909.56 × 3,494.40
  4. Step 4: Simplify right side
    5,731.98x = 27,639,166.46
  5. Step 5: Solve for x
    x = 27,639,166.46/5,731.98
  6. Step 6: Final answer
    x = 4,821.92

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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.