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Finding the Fourth Proportional to 5,624.56, 7,760.10 and 3,635.74

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Solution

The fourth proportional to 5,624.56, 7,760.10 and 3,635.74 is: 5,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.56 : 7,760.10 = 3,635.74 : x
  2. Step 2: Convert to fraction form
    5,624.56/7,760.10 = 3,635.74/x
  3. Step 3: Cross multiply
    5,624.56x = 7,760.10 × 3,635.74
  4. Step 4: Simplify right side
    5,624.56x = 28,213,705.97
  5. Step 5: Solve for x
    x = 28,213,705.97/5,624.56
  6. Step 6: Final answer
    x = 5,016.16

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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.