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Finding the Fourth Proportional to 5,597, 8,397 and 4,984.91

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Solution

The fourth proportional to 5,597, 8,397 and 4,984.91 is: 7,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597 : 8,397 = 4,984.91 : x
  2. Step 2: Convert to fraction form
    5,597/8,397 = 4,984.91/x
  3. Step 3: Cross multiply
    5,597x = 8,397 × 4,984.91
  4. Step 4: Simplify right side
    5,597x = 41,858,289.27
  5. Step 5: Solve for x
    x = 41,858,289.27/5,597
  6. Step 6: Final answer
    x = 7,478.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.