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Finding the Fourth Proportional to 4,534.38, 6,802.20 and 2,069.82

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Solution

The fourth proportional to 4,534.38, 6,802.20 and 2,069.82 is: 3,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.38 : 6,802.20 = 2,069.82 : x
  2. Step 2: Convert to fraction form
    4,534.38/6,802.20 = 2,069.82/x
  3. Step 3: Cross multiply
    4,534.38x = 6,802.20 × 2,069.82
  4. Step 4: Simplify right side
    4,534.38x = 14,079,329.60
  5. Step 5: Solve for x
    x = 14,079,329.60/4,534.38
  6. Step 6: Final answer
    x = 3,105.02

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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.