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Finding the Fourth Proportional to 3,278.75, 4,913.21 and 1,428.86

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Solution

The fourth proportional to 3,278.75, 4,913.21 and 1,428.86 is: 2,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.75 : 4,913.21 = 1,428.86 : x
  2. Step 2: Convert to fraction form
    3,278.75/4,913.21 = 1,428.86/x
  3. Step 3: Cross multiply
    3,278.75x = 4,913.21 × 1,428.86
  4. Step 4: Simplify right side
    3,278.75x = 7,020,305.10
  5. Step 5: Solve for x
    x = 7,020,305.10/3,278.75
  6. Step 6: Final answer
    x = 2,141.15

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Why These Related Problems?

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