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Finding the Fourth Proportional to 5,407.94, 7,461.24 and 3,169.10

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Solution

The fourth proportional to 5,407.94, 7,461.24 and 3,169.10 is: 4,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.94 : 7,461.24 = 3,169.10 : x
  2. Step 2: Convert to fraction form
    5,407.94/7,461.24 = 3,169.10/x
  3. Step 3: Cross multiply
    5,407.94x = 7,461.24 × 3,169.10
  4. Step 4: Simplify right side
    5,407.94x = 23,645,415.68
  5. Step 5: Solve for x
    x = 23,645,415.68/5,407.94
  6. Step 6: Final answer
    x = 4,372.35

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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.