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Finding the Fourth Proportional to 5,617.52, 7,752.16 and 3,133.52

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Solution

The fourth proportional to 5,617.52, 7,752.16 and 3,133.52 is: 4,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.52 : 7,752.16 = 3,133.52 : x
  2. Step 2: Convert to fraction form
    5,617.52/7,752.16 = 3,133.52/x
  3. Step 3: Cross multiply
    5,617.52x = 7,752.16 × 3,133.52
  4. Step 4: Simplify right side
    5,617.52x = 24,291,548.40
  5. Step 5: Solve for x
    x = 24,291,548.40/5,617.52
  6. Step 6: Final answer
    x = 4,324.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.