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Finding the Fourth Proportional to 3,726.44, 5,589.65 and 953.11

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Solution

The fourth proportional to 3,726.44, 5,589.65 and 953.11 is: 1,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.44 : 5,589.65 = 953.11 : x
  2. Step 2: Convert to fraction form
    3,726.44/5,589.65 = 953.11/x
  3. Step 3: Cross multiply
    3,726.44x = 5,589.65 × 953.11
  4. Step 4: Simplify right side
    3,726.44x = 5,327,551.31
  5. Step 5: Solve for x
    x = 5,327,551.31/3,726.44
  6. Step 6: Final answer
    x = 1,429.66

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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.