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Finding the Fourth Proportional to 5,004.48, 7,507.44 and 1,542

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Solution

The fourth proportional to 5,004.48, 7,507.44 and 1,542 is: 2,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.48 : 7,507.44 = 1,542 : x
  2. Step 2: Convert to fraction form
    5,004.48/7,507.44 = 1,542/x
  3. Step 3: Cross multiply
    5,004.48x = 7,507.44 × 1,542
  4. Step 4: Simplify right side
    5,004.48x = 11,576,472.48
  5. Step 5: Solve for x
    x = 11,576,472.48/5,004.48
  6. Step 6: Final answer
    x = 2,313.22

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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.