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Finding the Fourth Proportional to 5,542.74, 7,652.58 and 4,281.60

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Solution

The fourth proportional to 5,542.74, 7,652.58 and 4,281.60 is: 5,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.74 : 7,652.58 = 4,281.60 : x
  2. Step 2: Convert to fraction form
    5,542.74/7,652.58 = 4,281.60/x
  3. Step 3: Cross multiply
    5,542.74x = 7,652.58 × 4,281.60
  4. Step 4: Simplify right side
    5,542.74x = 32,765,286.53
  5. Step 5: Solve for x
    x = 32,765,286.53/5,542.74
  6. Step 6: Final answer
    x = 5,911.39

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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.