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Finding the Fourth Proportional to 5,678.48, 7,836.24 and 3,160.54

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Solution

The fourth proportional to 5,678.48, 7,836.24 and 3,160.54 is: 4,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.48 : 7,836.24 = 3,160.54 : x
  2. Step 2: Convert to fraction form
    5,678.48/7,836.24 = 3,160.54/x
  3. Step 3: Cross multiply
    5,678.48x = 7,836.24 × 3,160.54
  4. Step 4: Simplify right side
    5,678.48x = 24,766,734.17
  5. Step 5: Solve for x
    x = 24,766,734.17/5,678.48
  6. Step 6: Final answer
    x = 4,361.51

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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.