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Finding the Fourth Proportional to 3,458.65, 4,772.52 and 1,966.15

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Solution

The fourth proportional to 3,458.65, 4,772.52 and 1,966.15 is: 2,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.65 : 4,772.52 = 1,966.15 : x
  2. Step 2: Convert to fraction form
    3,458.65/4,772.52 = 1,966.15/x
  3. Step 3: Cross multiply
    3,458.65x = 4,772.52 × 1,966.15
  4. Step 4: Simplify right side
    3,458.65x = 9,383,490.20
  5. Step 5: Solve for x
    x = 9,383,490.20/3,458.65
  6. Step 6: Final answer
    x = 2,713.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.