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Finding the Fourth Proportional to 3,414.42, 4,710.02 and 2,069.15

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Solution

The fourth proportional to 3,414.42, 4,710.02 and 2,069.15 is: 2,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.42 : 4,710.02 = 2,069.15 : x
  2. Step 2: Convert to fraction form
    3,414.42/4,710.02 = 2,069.15/x
  3. Step 3: Cross multiply
    3,414.42x = 4,710.02 × 2,069.15
  4. Step 4: Simplify right side
    3,414.42x = 9,745,703.99
  5. Step 5: Solve for x
    x = 9,745,703.99/3,414.42
  6. Step 6: Final answer
    x = 2,854.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.