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Finding the Fourth Proportional to 5,983.67, 8,966.90 and 4,411.26

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Solution

The fourth proportional to 5,983.67, 8,966.90 and 4,411.26 is: 6,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.67 : 8,966.90 = 4,411.26 : x
  2. Step 2: Convert to fraction form
    5,983.67/8,966.90 = 4,411.26/x
  3. Step 3: Cross multiply
    5,983.67x = 8,966.90 × 4,411.26
  4. Step 4: Simplify right side
    5,983.67x = 39,555,338.32
  5. Step 5: Solve for x
    x = 39,555,338.32/5,983.67
  6. Step 6: Final answer
    x = 6,610.55

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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.