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Finding the Fourth Proportional to 3,412.87, 5,119.06 and 1,332.48

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Solution

The fourth proportional to 3,412.87, 5,119.06 and 1,332.48 is: 1,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.87 : 5,119.06 = 1,332.48 : x
  2. Step 2: Convert to fraction form
    3,412.87/5,119.06 = 1,332.48/x
  3. Step 3: Cross multiply
    3,412.87x = 5,119.06 × 1,332.48
  4. Step 4: Simplify right side
    3,412.87x = 6,821,038.41
  5. Step 5: Solve for x
    x = 6,821,038.41/3,412.87
  6. Step 6: Final answer
    x = 1,998.63

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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.