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Finding the Fourth Proportional to 3,588.29, 5,382.72 and 991.22

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Solution

The fourth proportional to 3,588.29, 5,382.72 and 991.22 is: 1,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.29 : 5,382.72 = 991.22 : x
  2. Step 2: Convert to fraction form
    3,588.29/5,382.72 = 991.22/x
  3. Step 3: Cross multiply
    3,588.29x = 5,382.72 × 991.22
  4. Step 4: Simplify right side
    3,588.29x = 5,335,432.80
  5. Step 5: Solve for x
    x = 5,335,432.80/3,588.29
  6. Step 6: Final answer
    x = 1,486.90

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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.