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Finding the Fourth Proportional to 3,358.57, 5,039.56 and 1,509.31

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Solution

The fourth proportional to 3,358.57, 5,039.56 and 1,509.31 is: 2,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.57 : 5,039.56 = 1,509.31 : x
  2. Step 2: Convert to fraction form
    3,358.57/5,039.56 = 1,509.31/x
  3. Step 3: Cross multiply
    3,358.57x = 5,039.56 × 1,509.31
  4. Step 4: Simplify right side
    3,358.57x = 7,606,258.30
  5. Step 5: Solve for x
    x = 7,606,258.30/3,358.57
  6. Step 6: Final answer
    x = 2,264.73

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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.