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Finding the Fourth Proportional to 5,296.55, 7,944.83 and 4,070.15

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Solution

The fourth proportional to 5,296.55, 7,944.83 and 4,070.15 is: 6,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.55 : 7,944.83 = 4,070.15 : x
  2. Step 2: Convert to fraction form
    5,296.55/7,944.83 = 4,070.15/x
  3. Step 3: Cross multiply
    5,296.55x = 7,944.83 × 4,070.15
  4. Step 4: Simplify right side
    5,296.55x = 32,336,629.47
  5. Step 5: Solve for x
    x = 32,336,629.47/5,296.55
  6. Step 6: Final answer
    x = 6,105.23

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Similar ratio
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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.