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Finding the Fourth Proportional to 5,296.08, 7,941.54 and 1,597.62

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Solution

The fourth proportional to 5,296.08, 7,941.54 and 1,597.62 is: 2,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.08 : 7,941.54 = 1,597.62 : x
  2. Step 2: Convert to fraction form
    5,296.08/7,941.54 = 1,597.62/x
  3. Step 3: Cross multiply
    5,296.08x = 7,941.54 × 1,597.62
  4. Step 4: Simplify right side
    5,296.08x = 12,687,563.13
  5. Step 5: Solve for x
    x = 12,687,563.13/5,296.08
  6. Step 6: Final answer
    x = 2,395.65

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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.