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Finding the Fourth Proportional to 5,069.52, 7,597.28 and 2,438.64

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Solution

The fourth proportional to 5,069.52, 7,597.28 and 2,438.64 is: 3,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.52 : 7,597.28 = 2,438.64 : x
  2. Step 2: Convert to fraction form
    5,069.52/7,597.28 = 2,438.64/x
  3. Step 3: Cross multiply
    5,069.52x = 7,597.28 × 2,438.64
  4. Step 4: Simplify right side
    5,069.52x = 18,527,030.90
  5. Step 5: Solve for x
    x = 18,527,030.90/5,069.52
  6. Step 6: Final answer
    x = 3,654.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.