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Finding the Fourth Proportional to 5,077.64, 7,007.74 and 3,896.66

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Solution

The fourth proportional to 5,077.64, 7,007.74 and 3,896.66 is: 5,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.64 : 7,007.74 = 3,896.66 : x
  2. Step 2: Convert to fraction form
    5,077.64/7,007.74 = 3,896.66/x
  3. Step 3: Cross multiply
    5,077.64x = 7,007.74 × 3,896.66
  4. Step 4: Simplify right side
    5,077.64x = 27,306,780.15
  5. Step 5: Solve for x
    x = 27,306,780.15/5,077.64
  6. Step 6: Final answer
    x = 5,377.85

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1.5x scale

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.