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Finding the Fourth Proportional to 5,005.28, 7,507.04 and 1,542.56

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Solution

The fourth proportional to 5,005.28, 7,507.04 and 1,542.56 is: 2,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.28 : 7,507.04 = 1,542.56 : x
  2. Step 2: Convert to fraction form
    5,005.28/7,507.04 = 1,542.56/x
  3. Step 3: Cross multiply
    5,005.28x = 7,507.04 × 1,542.56
  4. Step 4: Simplify right side
    5,005.28x = 11,580,059.62
  5. Step 5: Solve for x
    x = 11,580,059.62/5,005.28
  6. Step 6: Final answer
    x = 2,313.57

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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.