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Finding the Fourth Proportional to 3,494.76, 5,235.21 and 2,108.49

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Solution

The fourth proportional to 3,494.76, 5,235.21 and 2,108.49 is: 3,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.76 : 5,235.21 = 2,108.49 : x
  2. Step 2: Convert to fraction form
    3,494.76/5,235.21 = 2,108.49/x
  3. Step 3: Cross multiply
    3,494.76x = 5,235.21 × 2,108.49
  4. Step 4: Simplify right side
    3,494.76x = 11,038,387.93
  5. Step 5: Solve for x
    x = 11,038,387.93/3,494.76
  6. Step 6: Final answer
    x = 3,158.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.