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Finding the Fourth Proportional to 3,414.70, 4,719.80 and 3,114.83

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Solution

The fourth proportional to 3,414.70, 4,719.80 and 3,114.83 is: 4,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.70 : 4,719.80 = 3,114.83 : x
  2. Step 2: Convert to fraction form
    3,414.70/4,719.80 = 3,114.83/x
  3. Step 3: Cross multiply
    3,414.70x = 4,719.80 × 3,114.83
  4. Step 4: Simplify right side
    3,414.70x = 14,701,358.82
  5. Step 5: Solve for x
    x = 14,701,358.82/3,414.70
  6. Step 6: Final answer
    x = 4,305.32

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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.