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Finding the Fourth Proportional to 3,414.69, 4,712.63 and 2,089.28

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Solution

The fourth proportional to 3,414.69, 4,712.63 and 2,089.28 is: 2,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.69 : 4,712.63 = 2,089.28 : x
  2. Step 2: Convert to fraction form
    3,414.69/4,712.63 = 2,089.28/x
  3. Step 3: Cross multiply
    3,414.69x = 4,712.63 × 2,089.28
  4. Step 4: Simplify right side
    3,414.69x = 9,845,969.60
  5. Step 5: Solve for x
    x = 9,845,969.60/3,414.69
  6. Step 6: Final answer
    x = 2,883.42

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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.