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Finding the Fourth Proportional to 3,726.84, 5,150.16 and 3,096.72

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Solution

The fourth proportional to 3,726.84, 5,150.16 and 3,096.72 is: 4,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.84 : 5,150.16 = 3,096.72 : x
  2. Step 2: Convert to fraction form
    3,726.84/5,150.16 = 3,096.72/x
  3. Step 3: Cross multiply
    3,726.84x = 5,150.16 × 3,096.72
  4. Step 4: Simplify right side
    3,726.84x = 15,948,603.48
  5. Step 5: Solve for x
    x = 15,948,603.48/3,726.84
  6. Step 6: Final answer
    x = 4,279.39

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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.