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Finding the Fourth Proportional to 5,407.68, 7,460.16 and 3,169.68

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Solution

The fourth proportional to 5,407.68, 7,460.16 and 3,169.68 is: 4,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.68 : 7,460.16 = 3,169.68 : x
  2. Step 2: Convert to fraction form
    5,407.68/7,460.16 = 3,169.68/x
  3. Step 3: Cross multiply
    5,407.68x = 7,460.16 × 3,169.68
  4. Step 4: Simplify right side
    5,407.68x = 23,646,319.95
  5. Step 5: Solve for x
    x = 23,646,319.95/5,407.68
  6. Step 6: Final answer
    x = 4,372.73

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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.