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Finding the Fourth Proportional to 3,471.05, 4,787.34 and 3,073.14

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Solution

The fourth proportional to 3,471.05, 4,787.34 and 3,073.14 is: 4,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.05 : 4,787.34 = 3,073.14 : x
  2. Step 2: Convert to fraction form
    3,471.05/4,787.34 = 3,073.14/x
  3. Step 3: Cross multiply
    3,471.05x = 4,787.34 × 3,073.14
  4. Step 4: Simplify right side
    3,471.05x = 14,712,166.05
  5. Step 5: Solve for x
    x = 14,712,166.05/3,471.05
  6. Step 6: Final answer
    x = 4,238.53

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1.5x scale

Why These Related Problems?

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