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Finding the Fourth Proportional to 5,613.55, 7,746.37 and 3,222.97

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Solution

The fourth proportional to 5,613.55, 7,746.37 and 3,222.97 is: 4,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.55 : 7,746.37 = 3,222.97 : x
  2. Step 2: Convert to fraction form
    5,613.55/7,746.37 = 3,222.97/x
  3. Step 3: Cross multiply
    5,613.55x = 7,746.37 × 3,222.97
  4. Step 4: Simplify right side
    5,613.55x = 24,966,290.70
  5. Step 5: Solve for x
    x = 24,966,290.70/5,613.55
  6. Step 6: Final answer
    x = 4,447.51

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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.