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Finding the Fourth Proportional to 5,321.60, 7,972.80 and 4,342.40

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Solution

The fourth proportional to 5,321.60, 7,972.80 and 4,342.40 is: 6,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.60 : 7,972.80 = 4,342.40 : x
  2. Step 2: Convert to fraction form
    5,321.60/7,972.80 = 4,342.40/x
  3. Step 3: Cross multiply
    5,321.60x = 7,972.80 × 4,342.40
  4. Step 4: Simplify right side
    5,321.60x = 34,621,086.72
  5. Step 5: Solve for x
    x = 34,621,086.72/5,321.60
  6. Step 6: Final answer
    x = 6,505.77

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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.