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Finding the Fourth Proportional to 3,416.78, 4,713.72 and 2,298.08

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Solution

The fourth proportional to 3,416.78, 4,713.72 and 2,298.08 is: 3,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.78 : 4,713.72 = 2,298.08 : x
  2. Step 2: Convert to fraction form
    3,416.78/4,713.72 = 2,298.08/x
  3. Step 3: Cross multiply
    3,416.78x = 4,713.72 × 2,298.08
  4. Step 4: Simplify right side
    3,416.78x = 10,832,505.66
  5. Step 5: Solve for x
    x = 10,832,505.66/3,416.78
  6. Step 6: Final answer
    x = 3,170.38

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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.