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Finding the Fourth Proportional to 5,238.81, 7,853.14 and 1,726.40

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Solution

The fourth proportional to 5,238.81, 7,853.14 and 1,726.40 is: 2,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.81 : 7,853.14 = 1,726.40 : x
  2. Step 2: Convert to fraction form
    5,238.81/7,853.14 = 1,726.40/x
  3. Step 3: Cross multiply
    5,238.81x = 7,853.14 × 1,726.40
  4. Step 4: Simplify right side
    5,238.81x = 13,557,660.90
  5. Step 5: Solve for x
    x = 13,557,660.90/5,238.81
  6. Step 6: Final answer
    x = 2,587.93

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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.