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Finding the Fourth Proportional to 5,407.94, 7,462.28 and 3,169.30

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Solution

The fourth proportional to 5,407.94, 7,462.28 and 3,169.30 is: 4,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.94 : 7,462.28 = 3,169.30 : x
  2. Step 2: Convert to fraction form
    5,407.94/7,462.28 = 3,169.30/x
  3. Step 3: Cross multiply
    5,407.94x = 7,462.28 × 3,169.30
  4. Step 4: Simplify right side
    5,407.94x = 23,650,204.00
  5. Step 5: Solve for x
    x = 23,650,204.00/5,407.94
  6. Step 6: Final answer
    x = 4,373.24

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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.