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Finding the Fourth Proportional to 5,882.07, 8,820.31 and 3,417.60

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Solution

The fourth proportional to 5,882.07, 8,820.31 and 3,417.60 is: 5,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.07 : 8,820.31 = 3,417.60 : x
  2. Step 2: Convert to fraction form
    5,882.07/8,820.31 = 3,417.60/x
  3. Step 3: Cross multiply
    5,882.07x = 8,820.31 × 3,417.60
  4. Step 4: Simplify right side
    5,882.07x = 30,144,291.46
  5. Step 5: Solve for x
    x = 30,144,291.46/5,882.07
  6. Step 6: Final answer
    x = 5,124.78

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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.