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Finding the Fourth Proportional to 5,718.77, 7,889.57 and 3,478.85

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Solution

The fourth proportional to 5,718.77, 7,889.57 and 3,478.85 is: 4,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.77 : 7,889.57 = 3,478.85 : x
  2. Step 2: Convert to fraction form
    5,718.77/7,889.57 = 3,478.85/x
  3. Step 3: Cross multiply
    5,718.77x = 7,889.57 × 3,478.85
  4. Step 4: Simplify right side
    5,718.77x = 27,446,573.75
  5. Step 5: Solve for x
    x = 27,446,573.75/5,718.77
  6. Step 6: Final answer
    x = 4,799.39

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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.