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Finding the Fourth Proportional to 5,755.24, 8,609.10 and 4,358.08

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Solution

The fourth proportional to 5,755.24, 8,609.10 and 4,358.08 is: 6,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.24 : 8,609.10 = 4,358.08 : x
  2. Step 2: Convert to fraction form
    5,755.24/8,609.10 = 4,358.08/x
  3. Step 3: Cross multiply
    5,755.24x = 8,609.10 × 4,358.08
  4. Step 4: Simplify right side
    5,755.24x = 37,519,146.53
  5. Step 5: Solve for x
    x = 37,519,146.53/5,755.24
  6. Step 6: Final answer
    x = 6,519.13

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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.