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Finding the Fourth Proportional to 5,624.76, 7,757.46 and 4,114.20

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Solution

The fourth proportional to 5,624.76, 7,757.46 and 4,114.20 is: 5,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.76 : 7,757.46 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    5,624.76/7,757.46 = 4,114.20/x
  3. Step 3: Cross multiply
    5,624.76x = 7,757.46 × 4,114.20
  4. Step 4: Simplify right side
    5,624.76x = 31,915,741.93
  5. Step 5: Solve for x
    x = 31,915,741.93/5,624.76
  6. Step 6: Final answer
    x = 5,674.15

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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.