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Finding the Fourth Proportional to 3,907.50, 5,862.14 and 1,310.38

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Solution

The fourth proportional to 3,907.50, 5,862.14 and 1,310.38 is: 1,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.50 : 5,862.14 = 1,310.38 : x
  2. Step 2: Convert to fraction form
    3,907.50/5,862.14 = 1,310.38/x
  3. Step 3: Cross multiply
    3,907.50x = 5,862.14 × 1,310.38
  4. Step 4: Simplify right side
    3,907.50x = 7,681,631.01
  5. Step 5: Solve for x
    x = 7,681,631.01/3,907.50
  6. Step 6: Final answer
    x = 1,965.87

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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.