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Finding the Fourth Proportional to 3,726.99, 5,588.87 and 1,129.32

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Solution

The fourth proportional to 3,726.99, 5,588.87 and 1,129.32 is: 1,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.99 : 5,588.87 = 1,129.32 : x
  2. Step 2: Convert to fraction form
    3,726.99/5,588.87 = 1,129.32/x
  3. Step 3: Cross multiply
    3,726.99x = 5,588.87 × 1,129.32
  4. Step 4: Simplify right side
    3,726.99x = 6,311,617.02
  5. Step 5: Solve for x
    x = 6,311,617.02/3,726.99
  6. Step 6: Final answer
    x = 1,693.49

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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.