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Finding the Fourth Proportional to 5,624.64, 7,751.04 and 4,049.76

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Solution

The fourth proportional to 5,624.64, 7,751.04 and 4,049.76 is: 5,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.64 : 7,751.04 = 4,049.76 : x
  2. Step 2: Convert to fraction form
    5,624.64/7,751.04 = 4,049.76/x
  3. Step 3: Cross multiply
    5,624.64x = 7,751.04 × 4,049.76
  4. Step 4: Simplify right side
    5,624.64x = 31,389,851.75
  5. Step 5: Solve for x
    x = 31,389,851.75/5,624.64
  6. Step 6: Final answer
    x = 5,580.78

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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.