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Finding the Fourth Proportional to 5,726.24, 7,901.68 and 3,242.24

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Solution

The fourth proportional to 5,726.24, 7,901.68 and 3,242.24 is: 4,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.24 : 7,901.68 = 3,242.24 : x
  2. Step 2: Convert to fraction form
    5,726.24/7,901.68 = 3,242.24/x
  3. Step 3: Cross multiply
    5,726.24x = 7,901.68 × 3,242.24
  4. Step 4: Simplify right side
    5,726.24x = 25,619,142.96
  5. Step 5: Solve for x
    x = 25,619,142.96/5,726.24
  6. Step 6: Final answer
    x = 4,473.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.