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Finding the Fourth Proportional to 5,272.29, 7,909.52 and 1,574.73

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Solution

The fourth proportional to 5,272.29, 7,909.52 and 1,574.73 is: 2,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.29 : 7,909.52 = 1,574.73 : x
  2. Step 2: Convert to fraction form
    5,272.29/7,909.52 = 1,574.73/x
  3. Step 3: Cross multiply
    5,272.29x = 7,909.52 × 1,574.73
  4. Step 4: Simplify right side
    5,272.29x = 12,455,350.56
  5. Step 5: Solve for x
    x = 12,455,350.56/5,272.29
  6. Step 6: Final answer
    x = 2,362.42

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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.