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Finding the Fourth Proportional to 5,617.88, 8,420.89 and 2,105.59

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Solution

The fourth proportional to 5,617.88, 8,420.89 and 2,105.59 is: 3,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.88 : 8,420.89 = 2,105.59 : x
  2. Step 2: Convert to fraction form
    5,617.88/8,420.89 = 2,105.59/x
  3. Step 3: Cross multiply
    5,617.88x = 8,420.89 × 2,105.59
  4. Step 4: Simplify right side
    5,617.88x = 17,730,941.78
  5. Step 5: Solve for x
    x = 17,730,941.78/5,617.88
  6. Step 6: Final answer
    x = 3,156.16

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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.