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Finding the Fourth Proportional to 3,248.80, 4,874 and 1,057.64

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Solution

The fourth proportional to 3,248.80, 4,874 and 1,057.64 is: 1,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.80 : 4,874 = 1,057.64 : x
  2. Step 2: Convert to fraction form
    3,248.80/4,874 = 1,057.64/x
  3. Step 3: Cross multiply
    3,248.80x = 4,874 × 1,057.64
  4. Step 4: Simplify right side
    3,248.80x = 5,154,937.36
  5. Step 5: Solve for x
    x = 5,154,937.36/3,248.80
  6. Step 6: Final answer
    x = 1,586.72

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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.