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Finding the Fourth Proportional to 3,726.91, 5,144.76 and 2,384.28

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Solution

The fourth proportional to 3,726.91, 5,144.76 and 2,384.28 is: 3,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.91 : 5,144.76 = 2,384.28 : x
  2. Step 2: Convert to fraction form
    3,726.91/5,144.76 = 2,384.28/x
  3. Step 3: Cross multiply
    3,726.91x = 5,144.76 × 2,384.28
  4. Step 4: Simplify right side
    3,726.91x = 12,266,548.37
  5. Step 5: Solve for x
    x = 12,266,548.37/3,726.91
  6. Step 6: Final answer
    x = 3,291.35

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