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Finding the Fourth Proportional to 3,703.44, 5,115.24 and 2,927.76

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Solution

The fourth proportional to 3,703.44, 5,115.24 and 2,927.76 is: 4,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.44 : 5,115.24 = 2,927.76 : x
  2. Step 2: Convert to fraction form
    3,703.44/5,115.24 = 2,927.76/x
  3. Step 3: Cross multiply
    3,703.44x = 5,115.24 × 2,927.76
  4. Step 4: Simplify right side
    3,703.44x = 14,976,195.06
  5. Step 5: Solve for x
    x = 14,976,195.06/3,703.44
  6. Step 6: Final answer
    x = 4,043.86

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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.