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Finding the Fourth Proportional to 4,644.38, 6,403.38 and 3,972.08

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Solution

The fourth proportional to 4,644.38, 6,403.38 and 3,972.08 is: 5,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.38 : 6,403.38 = 3,972.08 : x
  2. Step 2: Convert to fraction form
    4,644.38/6,403.38 = 3,972.08/x
  3. Step 3: Cross multiply
    4,644.38x = 6,403.38 × 3,972.08
  4. Step 4: Simplify right side
    4,644.38x = 25,434,737.63
  5. Step 5: Solve for x
    x = 25,434,737.63/4,644.38
  6. Step 6: Final answer
    x = 5,476.45

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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.