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Finding the Fourth Proportional to 5,281.60, 7,922.40 and 3,434.80

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Solution

The fourth proportional to 5,281.60, 7,922.40 and 3,434.80 is: 5,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.60 : 7,922.40 = 3,434.80 : x
  2. Step 2: Convert to fraction form
    5,281.60/7,922.40 = 3,434.80/x
  3. Step 3: Cross multiply
    5,281.60x = 7,922.40 × 3,434.80
  4. Step 4: Simplify right side
    5,281.60x = 27,211,859.52
  5. Step 5: Solve for x
    x = 27,211,859.52/5,281.60
  6. Step 6: Final answer
    x = 5,152.20

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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.