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Finding the Fourth Proportional to 5,902.60, 8,153.88 and 5,591.56

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Solution

The fourth proportional to 5,902.60, 8,153.88 and 5,591.56 is: 7,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.60 : 8,153.88 = 5,591.56 : x
  2. Step 2: Convert to fraction form
    5,902.60/8,153.88 = 5,591.56/x
  3. Step 3: Cross multiply
    5,902.60x = 8,153.88 × 5,591.56
  4. Step 4: Simplify right side
    5,902.60x = 45,592,909.25
  5. Step 5: Solve for x
    x = 45,592,909.25/5,902.60
  6. Step 6: Final answer
    x = 7,724.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.