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Finding the Fourth Proportional to 3,907.25, 5,860.88 and 1,171.25

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Solution

The fourth proportional to 3,907.25, 5,860.88 and 1,171.25 is: 1,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.25 : 5,860.88 = 1,171.25 : x
  2. Step 2: Convert to fraction form
    3,907.25/5,860.88 = 1,171.25/x
  3. Step 3: Cross multiply
    3,907.25x = 5,860.88 × 1,171.25
  4. Step 4: Simplify right side
    3,907.25x = 6,864,549.84
  5. Step 5: Solve for x
    x = 6,864,549.84/3,907.25
  6. Step 6: Final answer
    x = 1,756.88

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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.