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Finding the Fourth Proportional to 5,732.61, 7,910.98 and 3,374.74

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Solution

The fourth proportional to 5,732.61, 7,910.98 and 3,374.74 is: 4,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.61 : 7,910.98 = 3,374.74 : x
  2. Step 2: Convert to fraction form
    5,732.61/7,910.98 = 3,374.74/x
  3. Step 3: Cross multiply
    5,732.61x = 7,910.98 × 3,374.74
  4. Step 4: Simplify right side
    5,732.61x = 26,697,500.65
  5. Step 5: Solve for x
    x = 26,697,500.65/5,732.61
  6. Step 6: Final answer
    x = 4,657.13

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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.