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Finding the Fourth Proportional to 3,381.75, 5,048.14 and 2,922.48

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Solution

The fourth proportional to 3,381.75, 5,048.14 and 2,922.48 is: 4,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.75 : 5,048.14 = 2,922.48 : x
  2. Step 2: Convert to fraction form
    3,381.75/5,048.14 = 2,922.48/x
  3. Step 3: Cross multiply
    3,381.75x = 5,048.14 × 2,922.48
  4. Step 4: Simplify right side
    3,381.75x = 14,753,088.19
  5. Step 5: Solve for x
    x = 14,753,088.19/3,381.75
  6. Step 6: Final answer
    x = 4,362.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.