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Finding the Fourth Proportional to 5,407.94, 7,461.54 and 3,168.61

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Solution

The fourth proportional to 5,407.94, 7,461.54 and 3,168.61 is: 4,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.94 : 7,461.54 = 3,168.61 : x
  2. Step 2: Convert to fraction form
    5,407.94/7,461.54 = 3,168.61/x
  3. Step 3: Cross multiply
    5,407.94x = 7,461.54 × 3,168.61
  4. Step 4: Simplify right side
    5,407.94x = 23,642,691.61
  5. Step 5: Solve for x
    x = 23,642,691.61/5,407.94
  6. Step 6: Final answer
    x = 4,371.85

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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.