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Finding the Fourth Proportional to 3,726.34, 5,589.51 and 953.01

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Solution

The fourth proportional to 3,726.34, 5,589.51 and 953.01 is: 1,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.34 : 5,589.51 = 953.01 : x
  2. Step 2: Convert to fraction form
    3,726.34/5,589.51 = 953.01/x
  3. Step 3: Cross multiply
    3,726.34x = 5,589.51 × 953.01
  4. Step 4: Simplify right side
    3,726.34x = 5,326,858.93
  5. Step 5: Solve for x
    x = 5,326,858.93/3,726.34
  6. Step 6: Final answer
    x = 1,429.52

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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.