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Finding the Fourth Proportional to 5,056.96, 7,580.12 and 3,491.88

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Solution

The fourth proportional to 5,056.96, 7,580.12 and 3,491.88 is: 5,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.96 : 7,580.12 = 3,491.88 : x
  2. Step 2: Convert to fraction form
    5,056.96/7,580.12 = 3,491.88/x
  3. Step 3: Cross multiply
    5,056.96x = 7,580.12 × 3,491.88
  4. Step 4: Simplify right side
    5,056.96x = 26,468,869.43
  5. Step 5: Solve for x
    x = 26,468,869.43/5,056.96
  6. Step 6: Final answer
    x = 5,234.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.