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Finding the Fourth Proportional to 5,766.71, 8,649.92 and 1,606.28

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Solution

The fourth proportional to 5,766.71, 8,649.92 and 1,606.28 is: 2,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.71 : 8,649.92 = 1,606.28 : x
  2. Step 2: Convert to fraction form
    5,766.71/8,649.92 = 1,606.28/x
  3. Step 3: Cross multiply
    5,766.71x = 8,649.92 × 1,606.28
  4. Step 4: Simplify right side
    5,766.71x = 13,894,142.22
  5. Step 5: Solve for x
    x = 13,894,142.22/5,766.71
  6. Step 6: Final answer
    x = 2,409.37

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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.