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Finding the Fourth Proportional to 4,538.39, 6,803.33 and 1,766.84

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Solution

The fourth proportional to 4,538.39, 6,803.33 and 1,766.84 is: 2,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.39 : 6,803.33 = 1,766.84 : x
  2. Step 2: Convert to fraction form
    4,538.39/6,803.33 = 1,766.84/x
  3. Step 3: Cross multiply
    4,538.39x = 6,803.33 × 1,766.84
  4. Step 4: Simplify right side
    4,538.39x = 12,020,395.58
  5. Step 5: Solve for x
    x = 12,020,395.58/4,538.39
  6. Step 6: Final answer
    x = 2,648.60

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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.