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Finding the Fourth Proportional to 4,538.61, 6,807.20 and 1,766.55

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Solution

The fourth proportional to 4,538.61, 6,807.20 and 1,766.55 is: 2,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.61 : 6,807.20 = 1,766.55 : x
  2. Step 2: Convert to fraction form
    4,538.61/6,807.20 = 1,766.55/x
  3. Step 3: Cross multiply
    4,538.61x = 6,807.20 × 1,766.55
  4. Step 4: Simplify right side
    4,538.61x = 12,025,250.33
  5. Step 5: Solve for x
    x = 12,025,250.33/4,538.61
  6. Step 6: Final answer
    x = 2,649.54

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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.