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Finding the Fourth Proportional to 3,073.52, 4,238.10 and 2,077.06

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Solution

The fourth proportional to 3,073.52, 4,238.10 and 2,077.06 is: 2,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.52 : 4,238.10 = 2,077.06 : x
  2. Step 2: Convert to fraction form
    3,073.52/4,238.10 = 2,077.06/x
  3. Step 3: Cross multiply
    3,073.52x = 4,238.10 × 2,077.06
  4. Step 4: Simplify right side
    3,073.52x = 8,802,787.99
  5. Step 5: Solve for x
    x = 8,802,787.99/3,073.52
  6. Step 6: Final answer
    x = 2,864.07

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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.