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Finding the Fourth Proportional to 5,407.09, 7,461.81 and 3,049.22

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Solution

The fourth proportional to 5,407.09, 7,461.81 and 3,049.22 is: 4,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.09 : 7,461.81 = 3,049.22 : x
  2. Step 2: Convert to fraction form
    5,407.09/7,461.81 = 3,049.22/x
  3. Step 3: Cross multiply
    5,407.09x = 7,461.81 × 3,049.22
  4. Step 4: Simplify right side
    5,407.09x = 22,752,718.94
  5. Step 5: Solve for x
    x = 22,752,718.94/5,407.09
  6. Step 6: Final answer
    x = 4,207.94

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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.