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Finding the Fourth Proportional to 5,215.24, 7,816.30 and 3,726.72

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Solution

The fourth proportional to 5,215.24, 7,816.30 and 3,726.72 is: 5,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.24 : 7,816.30 = 3,726.72 : x
  2. Step 2: Convert to fraction form
    5,215.24/7,816.30 = 3,726.72/x
  3. Step 3: Cross multiply
    5,215.24x = 7,816.30 × 3,726.72
  4. Step 4: Simplify right side
    5,215.24x = 29,129,161.54
  5. Step 5: Solve for x
    x = 29,129,161.54/5,215.24
  6. Step 6: Final answer
    x = 5,585.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.