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Finding the Fourth Proportional to 3,063.25, 4,595.01 and 871.78

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Solution

The fourth proportional to 3,063.25, 4,595.01 and 871.78 is: 1,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.25 : 4,595.01 = 871.78 : x
  2. Step 2: Convert to fraction form
    3,063.25/4,595.01 = 871.78/x
  3. Step 3: Cross multiply
    3,063.25x = 4,595.01 × 871.78
  4. Step 4: Simplify right side
    3,063.25x = 4,005,837.82
  5. Step 5: Solve for x
    x = 4,005,837.82/3,063.25
  6. Step 6: Final answer
    x = 1,307.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.