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Finding the Fourth Proportional to 5,899.26, 8,140.95 and 3,660.42

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Solution

The fourth proportional to 5,899.26, 8,140.95 and 3,660.42 is: 5,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.26 : 8,140.95 = 3,660.42 : x
  2. Step 2: Convert to fraction form
    5,899.26/8,140.95 = 3,660.42/x
  3. Step 3: Cross multiply
    5,899.26x = 8,140.95 × 3,660.42
  4. Step 4: Simplify right side
    5,899.26x = 29,799,296.20
  5. Step 5: Solve for x
    x = 29,799,296.20/5,899.26
  6. Step 6: Final answer
    x = 5,051.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.