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Finding the Fourth Proportional to 3,380.51, 5,073.48 and 1,434.08

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Solution

The fourth proportional to 3,380.51, 5,073.48 and 1,434.08 is: 2,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.51 : 5,073.48 = 1,434.08 : x
  2. Step 2: Convert to fraction form
    3,380.51/5,073.48 = 1,434.08/x
  3. Step 3: Cross multiply
    3,380.51x = 5,073.48 × 1,434.08
  4. Step 4: Simplify right side
    3,380.51x = 7,275,750.83
  5. Step 5: Solve for x
    x = 7,275,750.83/3,380.51
  6. Step 6: Final answer
    x = 2,152.27

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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.