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Finding the Fourth Proportional to 3,398.76, 5,116.05 and 2,897.64

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Solution

The fourth proportional to 3,398.76, 5,116.05 and 2,897.64 is: 4,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.76 : 5,116.05 = 2,897.64 : x
  2. Step 2: Convert to fraction form
    3,398.76/5,116.05 = 2,897.64/x
  3. Step 3: Cross multiply
    3,398.76x = 5,116.05 × 2,897.64
  4. Step 4: Simplify right side
    3,398.76x = 14,824,471.12
  5. Step 5: Solve for x
    x = 14,824,471.12/3,398.76
  6. Step 6: Final answer
    x = 4,361.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.