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Finding the Fourth Proportional to 5,034.24, 7,552.08 and 1,571.04

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Solution

The fourth proportional to 5,034.24, 7,552.08 and 1,571.04 is: 2,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.24 : 7,552.08 = 1,571.04 : x
  2. Step 2: Convert to fraction form
    5,034.24/7,552.08 = 1,571.04/x
  3. Step 3: Cross multiply
    5,034.24x = 7,552.08 × 1,571.04
  4. Step 4: Simplify right side
    5,034.24x = 11,864,619.76
  5. Step 5: Solve for x
    x = 11,864,619.76/5,034.24
  6. Step 6: Final answer
    x = 2,356.78

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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.