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Finding the Fourth Proportional to 5,766.84, 8,652.50 and 2,306.52

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Solution

The fourth proportional to 5,766.84, 8,652.50 and 2,306.52 is: 3,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.84 : 8,652.50 = 2,306.52 : x
  2. Step 2: Convert to fraction form
    5,766.84/8,652.50 = 2,306.52/x
  3. Step 3: Cross multiply
    5,766.84x = 8,652.50 × 2,306.52
  4. Step 4: Simplify right side
    5,766.84x = 19,957,164.30
  5. Step 5: Solve for x
    x = 19,957,164.30/5,766.84
  6. Step 6: Final answer
    x = 3,460.68

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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.