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Finding the Fourth Proportional to 5,881.68, 8,082.27 and 4,700.70

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Solution

The fourth proportional to 5,881.68, 8,082.27 and 4,700.70 is: 6,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.68 : 8,082.27 = 4,700.70 : x
  2. Step 2: Convert to fraction form
    5,881.68/8,082.27 = 4,700.70/x
  3. Step 3: Cross multiply
    5,881.68x = 8,082.27 × 4,700.70
  4. Step 4: Simplify right side
    5,881.68x = 37,992,326.59
  5. Step 5: Solve for x
    x = 37,992,326.59/5,881.68
  6. Step 6: Final answer
    x = 6,459.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.