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Finding the Fourth Proportional to 5,272.28, 7,909.54 and 1,574.82

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Solution

The fourth proportional to 5,272.28, 7,909.54 and 1,574.82 is: 2,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.28 : 7,909.54 = 1,574.82 : x
  2. Step 2: Convert to fraction form
    5,272.28/7,909.54 = 1,574.82/x
  3. Step 3: Cross multiply
    5,272.28x = 7,909.54 × 1,574.82
  4. Step 4: Simplify right side
    5,272.28x = 12,456,101.78
  5. Step 5: Solve for x
    x = 12,456,101.78/5,272.28
  6. Step 6: Final answer
    x = 2,362.56

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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.