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Finding the Fourth Proportional to 5,238.56, 7,856.04 and 1,775

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Solution

The fourth proportional to 5,238.56, 7,856.04 and 1,775 is: 2,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.56 : 7,856.04 = 1,775 : x
  2. Step 2: Convert to fraction form
    5,238.56/7,856.04 = 1,775/x
  3. Step 3: Cross multiply
    5,238.56x = 7,856.04 × 1,775
  4. Step 4: Simplify right side
    5,238.56x = 13,944,471
  5. Step 5: Solve for x
    x = 13,944,471/5,238.56
  6. Step 6: Final answer
    x = 2,661.89

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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.