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Finding the Fourth Proportional to 5,488.60, 8,235.60 and 4,171.90

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Solution

The fourth proportional to 5,488.60, 8,235.60 and 4,171.90 is: 6,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.60 : 8,235.60 = 4,171.90 : x
  2. Step 2: Convert to fraction form
    5,488.60/8,235.60 = 4,171.90/x
  3. Step 3: Cross multiply
    5,488.60x = 8,235.60 × 4,171.90
  4. Step 4: Simplify right side
    5,488.60x = 34,358,099.64
  5. Step 5: Solve for x
    x = 34,358,099.64/5,488.60
  6. Step 6: Final answer
    x = 6,259.90

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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.