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Finding the Fourth Proportional to 5,000.32, 7,500.38 and 1,302.47

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Solution

The fourth proportional to 5,000.32, 7,500.38 and 1,302.47 is: 1,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.32 : 7,500.38 = 1,302.47 : x
  2. Step 2: Convert to fraction form
    5,000.32/7,500.38 = 1,302.47/x
  3. Step 3: Cross multiply
    5,000.32x = 7,500.38 × 1,302.47
  4. Step 4: Simplify right side
    5,000.32x = 9,769,019.94
  5. Step 5: Solve for x
    x = 9,769,019.94/5,000.32
  6. Step 6: Final answer
    x = 1,953.68

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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.