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Finding the Fourth Proportional to 5,276.60, 7,917.60 and 2,354.20

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Solution

The fourth proportional to 5,276.60, 7,917.60 and 2,354.20 is: 3,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.60 : 7,917.60 = 2,354.20 : x
  2. Step 2: Convert to fraction form
    5,276.60/7,917.60 = 2,354.20/x
  3. Step 3: Cross multiply
    5,276.60x = 7,917.60 × 2,354.20
  4. Step 4: Simplify right side
    5,276.60x = 18,639,613.92
  5. Step 5: Solve for x
    x = 18,639,613.92/5,276.60
  6. Step 6: Final answer
    x = 3,532.50

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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.