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Finding the Fourth Proportional to 5,766.66, 8,649.65 and 1,606.91

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Solution

The fourth proportional to 5,766.66, 8,649.65 and 1,606.91 is: 2,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.66 : 8,649.65 = 1,606.91 : x
  2. Step 2: Convert to fraction form
    5,766.66/8,649.65 = 1,606.91/x
  3. Step 3: Cross multiply
    5,766.66x = 8,649.65 × 1,606.91
  4. Step 4: Simplify right side
    5,766.66x = 13,899,169.85
  5. Step 5: Solve for x
    x = 13,899,169.85/5,766.66
  6. Step 6: Final answer
    x = 2,410.26

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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.