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Finding the Fourth Proportional to 3,414.30, 5,120.94 and 948.86

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Solution

The fourth proportional to 3,414.30, 5,120.94 and 948.86 is: 1,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.30 : 5,120.94 = 948.86 : x
  2. Step 2: Convert to fraction form
    3,414.30/5,120.94 = 948.86/x
  3. Step 3: Cross multiply
    3,414.30x = 5,120.94 × 948.86
  4. Step 4: Simplify right side
    3,414.30x = 4,859,055.13
  5. Step 5: Solve for x
    x = 4,859,055.13/3,414.30
  6. Step 6: Final answer
    x = 1,423.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.