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Finding the Fourth Proportional to 5,597.52, 7,725.60 and 3,239.76

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Solution

The fourth proportional to 5,597.52, 7,725.60 and 3,239.76 is: 4,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.52 : 7,725.60 = 3,239.76 : x
  2. Step 2: Convert to fraction form
    5,597.52/7,725.60 = 3,239.76/x
  3. Step 3: Cross multiply
    5,597.52x = 7,725.60 × 3,239.76
  4. Step 4: Simplify right side
    5,597.52x = 25,029,089.86
  5. Step 5: Solve for x
    x = 25,029,089.86/5,597.52
  6. Step 6: Final answer
    x = 4,471.46

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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.