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Finding the Fourth Proportional to 5,917.20, 8,875.80 and 3,454.80

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Solution

The fourth proportional to 5,917.20, 8,875.80 and 3,454.80 is: 5,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.20 : 8,875.80 = 3,454.80 : x
  2. Step 2: Convert to fraction form
    5,917.20/8,875.80 = 3,454.80/x
  3. Step 3: Cross multiply
    5,917.20x = 8,875.80 × 3,454.80
  4. Step 4: Simplify right side
    5,917.20x = 30,664,113.84
  5. Step 5: Solve for x
    x = 30,664,113.84/5,917.20
  6. Step 6: Final answer
    x = 5,182.20

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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.