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Finding the Fourth Proportional to 3,907.31, 5,859.88 and 1,715.49

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Solution

The fourth proportional to 3,907.31, 5,859.88 and 1,715.49 is: 2,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.31 : 5,859.88 = 1,715.49 : x
  2. Step 2: Convert to fraction form
    3,907.31/5,859.88 = 1,715.49/x
  3. Step 3: Cross multiply
    3,907.31x = 5,859.88 × 1,715.49
  4. Step 4: Simplify right side
    3,907.31x = 10,052,561.25
  5. Step 5: Solve for x
    x = 10,052,561.25/3,907.31
  6. Step 6: Final answer
    x = 2,572.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.