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Finding the Fourth Proportional to 5,585.86, 8,366.02 and 2,666.21

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Solution

The fourth proportional to 5,585.86, 8,366.02 and 2,666.21 is: 3,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.86 : 8,366.02 = 2,666.21 : x
  2. Step 2: Convert to fraction form
    5,585.86/8,366.02 = 2,666.21/x
  3. Step 3: Cross multiply
    5,585.86x = 8,366.02 × 2,666.21
  4. Step 4: Simplify right side
    5,585.86x = 22,305,566.18
  5. Step 5: Solve for x
    x = 22,305,566.18/5,585.86
  6. Step 6: Final answer
    x = 3,993.22

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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.