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Finding the Fourth Proportional to 5,678.54, 7,836.31 and 3,288.84

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Solution

The fourth proportional to 5,678.54, 7,836.31 and 3,288.84 is: 4,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.54 : 7,836.31 = 3,288.84 : x
  2. Step 2: Convert to fraction form
    5,678.54/7,836.31 = 3,288.84/x
  3. Step 3: Cross multiply
    5,678.54x = 7,836.31 × 3,288.84
  4. Step 4: Simplify right side
    5,678.54x = 25,772,369.78
  5. Step 5: Solve for x
    x = 25,772,369.78/5,678.54
  6. Step 6: Final answer
    x = 4,538.56

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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.