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Finding the Fourth Proportional to 5,766.88, 8,650.92 and 2,646.35

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Solution

The fourth proportional to 5,766.88, 8,650.92 and 2,646.35 is: 3,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.88 : 8,650.92 = 2,646.35 : x
  2. Step 2: Convert to fraction form
    5,766.88/8,650.92 = 2,646.35/x
  3. Step 3: Cross multiply
    5,766.88x = 8,650.92 × 2,646.35
  4. Step 4: Simplify right side
    5,766.88x = 22,893,362.14
  5. Step 5: Solve for x
    x = 22,893,362.14/5,766.88
  6. Step 6: Final answer
    x = 3,969.80

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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.