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Finding the Fourth Proportional to 5,004.76, 7,507.54 and 1,542

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Solution

The fourth proportional to 5,004.76, 7,507.54 and 1,542 is: 2,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.76 : 7,507.54 = 1,542 : x
  2. Step 2: Convert to fraction form
    5,004.76/7,507.54 = 1,542/x
  3. Step 3: Cross multiply
    5,004.76x = 7,507.54 × 1,542
  4. Step 4: Simplify right side
    5,004.76x = 11,576,626.68
  5. Step 5: Solve for x
    x = 11,576,626.68/5,004.76
  6. Step 6: Final answer
    x = 2,313.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.