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Finding the Fourth Proportional to 5,785.75, 7,984.49 and 3,548.86

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Solution

The fourth proportional to 5,785.75, 7,984.49 and 3,548.86 is: 4,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.75 : 7,984.49 = 3,548.86 : x
  2. Step 2: Convert to fraction form
    5,785.75/7,984.49 = 3,548.86/x
  3. Step 3: Cross multiply
    5,785.75x = 7,984.49 × 3,548.86
  4. Step 4: Simplify right side
    5,785.75x = 28,335,849.38
  5. Step 5: Solve for x
    x = 28,335,849.38/5,785.75
  6. Step 6: Final answer
    x = 4,897.52

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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.