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Finding the Fourth Proportional to 4,877.60, 7,323.60 and 3,423.20

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Solution

The fourth proportional to 4,877.60, 7,323.60 and 3,423.20 is: 5,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.60 : 7,323.60 = 3,423.20 : x
  2. Step 2: Convert to fraction form
    4,877.60/7,323.60 = 3,423.20/x
  3. Step 3: Cross multiply
    4,877.60x = 7,323.60 × 3,423.20
  4. Step 4: Simplify right side
    4,877.60x = 25,070,147.52
  5. Step 5: Solve for x
    x = 25,070,147.52/4,877.60
  6. Step 6: Final answer
    x = 5,139.85

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1.5x scale

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.