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Finding the Fourth Proportional to 5,294.60, 7,941.92 and 1,597.20

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Solution

The fourth proportional to 5,294.60, 7,941.92 and 1,597.20 is: 2,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.60 : 7,941.92 = 1,597.20 : x
  2. Step 2: Convert to fraction form
    5,294.60/7,941.92 = 1,597.20/x
  3. Step 3: Cross multiply
    5,294.60x = 7,941.92 × 1,597.20
  4. Step 4: Simplify right side
    5,294.60x = 12,684,834.62
  5. Step 5: Solve for x
    x = 12,684,834.62/5,294.60
  6. Step 6: Final answer
    x = 2,395.81

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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.