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Finding the Fourth Proportional to 5,751.52, 7,938 and 3,656.32

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Solution

The fourth proportional to 5,751.52, 7,938 and 3,656.32 is: 5,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.52 : 7,938 = 3,656.32 : x
  2. Step 2: Convert to fraction form
    5,751.52/7,938 = 3,656.32/x
  3. Step 3: Cross multiply
    5,751.52x = 7,938 × 3,656.32
  4. Step 4: Simplify right side
    5,751.52x = 29,023,868.16
  5. Step 5: Solve for x
    x = 29,023,868.16/5,751.52
  6. Step 6: Final answer
    x = 5,046.30

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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.