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Finding the Fourth Proportional to 8,652.60, 12,977.10 and 3,722.40

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Solution

The fourth proportional to 8,652.60, 12,977.10 and 3,722.40 is: 5,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.60 : 12,977.10 = 3,722.40 : x
  2. Step 2: Convert to fraction form
    8,652.60/12,977.10 = 3,722.40/x
  3. Step 3: Cross multiply
    8,652.60x = 12,977.10 × 3,722.40
  4. Step 4: Simplify right side
    8,652.60x = 48,305,957.04
  5. Step 5: Solve for x
    x = 48,305,957.04/8,652.60
  6. Step 6: Final answer
    x = 5,582.83

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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.