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Finding the Fourth Proportional to 5,907.80, 8,145.92 and 4,711.85

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Solution

The fourth proportional to 5,907.80, 8,145.92 and 4,711.85 is: 6,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.80 : 8,145.92 = 4,711.85 : x
  2. Step 2: Convert to fraction form
    5,907.80/8,145.92 = 4,711.85/x
  3. Step 3: Cross multiply
    5,907.80x = 8,145.92 × 4,711.85
  4. Step 4: Simplify right side
    5,907.80x = 38,382,288.86
  5. Step 5: Solve for x
    x = 38,382,288.86/5,907.80
  6. Step 6: Final answer
    x = 6,496.89

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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.