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Finding the Fourth Proportional to 6,522.40, 8,998.71 and 4,165.90

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Solution

The fourth proportional to 6,522.40, 8,998.71 and 4,165.90 is: 5,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.40 : 8,998.71 = 4,165.90 : x
  2. Step 2: Convert to fraction form
    6,522.40/8,998.71 = 4,165.90/x
  3. Step 3: Cross multiply
    6,522.40x = 8,998.71 × 4,165.90
  4. Step 4: Simplify right side
    6,522.40x = 37,487,725.99
  5. Step 5: Solve for x
    x = 37,487,725.99/6,522.40
  6. Step 6: Final answer
    x = 5,747.54

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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.