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Finding the Fourth Proportional to 4,490.64, 6,734.88 and 3,760.56

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Solution

The fourth proportional to 4,490.64, 6,734.88 and 3,760.56 is: 5,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.64 : 6,734.88 = 3,760.56 : x
  2. Step 2: Convert to fraction form
    4,490.64/6,734.88 = 3,760.56/x
  3. Step 3: Cross multiply
    4,490.64x = 6,734.88 × 3,760.56
  4. Step 4: Simplify right side
    4,490.64x = 25,326,920.33
  5. Step 5: Solve for x
    x = 25,326,920.33/4,490.64
  6. Step 6: Final answer
    x = 5,639.94

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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.