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Finding the Fourth Proportional to 5,387.76, 7,435.38 and 3,149.28

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Solution

The fourth proportional to 5,387.76, 7,435.38 and 3,149.28 is: 4,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.76 : 7,435.38 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    5,387.76/7,435.38 = 3,149.28/x
  3. Step 3: Cross multiply
    5,387.76x = 7,435.38 × 3,149.28
  4. Step 4: Simplify right side
    5,387.76x = 23,416,093.53
  5. Step 5: Solve for x
    x = 23,416,093.53/5,387.76
  6. Step 6: Final answer
    x = 4,346.16

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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.