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Finding the Fourth Proportional to 4,921.77, 7,382.10 and 1,758.53

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Solution

The fourth proportional to 4,921.77, 7,382.10 and 1,758.53 is: 2,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.77 : 7,382.10 = 1,758.53 : x
  2. Step 2: Convert to fraction form
    4,921.77/7,382.10 = 1,758.53/x
  3. Step 3: Cross multiply
    4,921.77x = 7,382.10 × 1,758.53
  4. Step 4: Simplify right side
    4,921.77x = 12,981,610.04
  5. Step 5: Solve for x
    x = 12,981,610.04/4,921.77
  6. Step 6: Final answer
    x = 2,637.59

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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.