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Finding the Fourth Proportional to 3,414.78, 4,712.10 and 1,902.30

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Solution

The fourth proportional to 3,414.78, 4,712.10 and 1,902.30 is: 2,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.78 : 4,712.10 = 1,902.30 : x
  2. Step 2: Convert to fraction form
    3,414.78/4,712.10 = 1,902.30/x
  3. Step 3: Cross multiply
    3,414.78x = 4,712.10 × 1,902.30
  4. Step 4: Simplify right side
    3,414.78x = 8,963,827.83
  5. Step 5: Solve for x
    x = 8,963,827.83/3,414.78
  6. Step 6: Final answer
    x = 2,625.01

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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.