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Finding the Fourth Proportional to 5,882.51, 8,117.87 and 3,193.72

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Solution

The fourth proportional to 5,882.51, 8,117.87 and 3,193.72 is: 4,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.51 : 8,117.87 = 3,193.72 : x
  2. Step 2: Convert to fraction form
    5,882.51/8,117.87 = 3,193.72/x
  3. Step 3: Cross multiply
    5,882.51x = 8,117.87 × 3,193.72
  4. Step 4: Simplify right side
    5,882.51x = 25,926,203.78
  5. Step 5: Solve for x
    x = 25,926,203.78/5,882.51
  6. Step 6: Final answer
    x = 4,407.34

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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.