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Finding the Fourth Proportional to 3,726.59, 5,589.86 and 953.26

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Solution

The fourth proportional to 3,726.59, 5,589.86 and 953.26 is: 1,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.59 : 5,589.86 = 953.26 : x
  2. Step 2: Convert to fraction form
    3,726.59/5,589.86 = 953.26/x
  3. Step 3: Cross multiply
    3,726.59x = 5,589.86 × 953.26
  4. Step 4: Simplify right side
    3,726.59x = 5,328,589.94
  5. Step 5: Solve for x
    x = 5,328,589.94/3,726.59
  6. Step 6: Final answer
    x = 1,429.88

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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.