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Finding the Fourth Proportional to 5,710.77, 8,557.30 and 3,959.17

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Solution

The fourth proportional to 5,710.77, 8,557.30 and 3,959.17 is: 5,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.77 : 8,557.30 = 3,959.17 : x
  2. Step 2: Convert to fraction form
    5,710.77/8,557.30 = 3,959.17/x
  3. Step 3: Cross multiply
    5,710.77x = 8,557.30 × 3,959.17
  4. Step 4: Simplify right side
    5,710.77x = 33,879,826.60
  5. Step 5: Solve for x
    x = 33,879,826.60/5,710.77
  6. Step 6: Final answer
    x = 5,932.62

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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.