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Finding the Fourth Proportional to 3,367.87, 4,647.87 and 1,875.85

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Solution

The fourth proportional to 3,367.87, 4,647.87 and 1,875.85 is: 2,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.87 : 4,647.87 = 1,875.85 : x
  2. Step 2: Convert to fraction form
    3,367.87/4,647.87 = 1,875.85/x
  3. Step 3: Cross multiply
    3,367.87x = 4,647.87 × 1,875.85
  4. Step 4: Simplify right side
    3,367.87x = 8,718,706.94
  5. Step 5: Solve for x
    x = 8,718,706.94/3,367.87
  6. Step 6: Final answer
    x = 2,588.79

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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.