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Finding the Fourth Proportional to 3,140.71, 4,329.21 and 2,509.25

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Solution

The fourth proportional to 3,140.71, 4,329.21 and 2,509.25 is: 3,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.71 : 4,329.21 = 2,509.25 : x
  2. Step 2: Convert to fraction form
    3,140.71/4,329.21 = 2,509.25/x
  3. Step 3: Cross multiply
    3,140.71x = 4,329.21 × 2,509.25
  4. Step 4: Simplify right side
    3,140.71x = 10,863,057.96
  5. Step 5: Solve for x
    x = 10,863,057.96/3,140.71
  6. Step 6: Final answer
    x = 3,458.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.