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Finding the Fourth Proportional to 5,505.12, 7,597.71 and 3,147.48

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Solution

The fourth proportional to 5,505.12, 7,597.71 and 3,147.48 is: 4,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.12 : 7,597.71 = 3,147.48 : x
  2. Step 2: Convert to fraction form
    5,505.12/7,597.71 = 3,147.48/x
  3. Step 3: Cross multiply
    5,505.12x = 7,597.71 × 3,147.48
  4. Step 4: Simplify right side
    5,505.12x = 23,913,640.27
  5. Step 5: Solve for x
    x = 23,913,640.27/5,505.12
  6. Step 6: Final answer
    x = 4,343.89

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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.