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Finding the Fourth Proportional to 5,838.74, 8,058.76 and 3,713.84

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Solution

The fourth proportional to 5,838.74, 8,058.76 and 3,713.84 is: 5,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.74 : 8,058.76 = 3,713.84 : x
  2. Step 2: Convert to fraction form
    5,838.74/8,058.76 = 3,713.84/x
  3. Step 3: Cross multiply
    5,838.74x = 8,058.76 × 3,713.84
  4. Step 4: Simplify right side
    5,838.74x = 29,928,945.24
  5. Step 5: Solve for x
    x = 29,928,945.24/5,838.74
  6. Step 6: Final answer
    x = 5,125.93

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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.