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Finding the Fourth Proportional to 3,414.54, 4,712.16 and 2,088.21

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Solution

The fourth proportional to 3,414.54, 4,712.16 and 2,088.21 is: 2,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.54 : 4,712.16 = 2,088.21 : x
  2. Step 2: Convert to fraction form
    3,414.54/4,712.16 = 2,088.21/x
  3. Step 3: Cross multiply
    3,414.54x = 4,712.16 × 2,088.21
  4. Step 4: Simplify right side
    3,414.54x = 9,839,979.63
  5. Step 5: Solve for x
    x = 9,839,979.63/3,414.54
  6. Step 6: Final answer
    x = 2,881.79

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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.