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Finding the Fourth Proportional to 5,882.10, 8,820.32 and 3,417.63

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Solution

The fourth proportional to 5,882.10, 8,820.32 and 3,417.63 is: 5,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.10 : 8,820.32 = 3,417.63 : x
  2. Step 2: Convert to fraction form
    5,882.10/8,820.32 = 3,417.63/x
  3. Step 3: Cross multiply
    5,882.10x = 8,820.32 × 3,417.63
  4. Step 4: Simplify right side
    5,882.10x = 30,144,573.15
  5. Step 5: Solve for x
    x = 30,144,573.15/5,882.10
  6. Step 6: Final answer
    x = 5,124.80

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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.