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Finding the Fourth Proportional to 5,609.55, 7,743.97 and 4,347.75

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Solution

The fourth proportional to 5,609.55, 7,743.97 and 4,347.75 is: 6,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.55 : 7,743.97 = 4,347.75 : x
  2. Step 2: Convert to fraction form
    5,609.55/7,743.97 = 4,347.75/x
  3. Step 3: Cross multiply
    5,609.55x = 7,743.97 × 4,347.75
  4. Step 4: Simplify right side
    5,609.55x = 33,668,845.57
  5. Step 5: Solve for x
    x = 33,668,845.57/5,609.55
  6. Step 6: Final answer
    x = 6,002.06

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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.