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Finding the Fourth Proportional to 3,294.42, 4,546.38 and 2,036.34

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Solution

The fourth proportional to 3,294.42, 4,546.38 and 2,036.34 is: 2,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.42 : 4,546.38 = 2,036.34 : x
  2. Step 2: Convert to fraction form
    3,294.42/4,546.38 = 2,036.34/x
  3. Step 3: Cross multiply
    3,294.42x = 4,546.38 × 2,036.34
  4. Step 4: Simplify right side
    3,294.42x = 9,257,971.63
  5. Step 5: Solve for x
    x = 9,257,971.63/3,294.42
  6. Step 6: Final answer
    x = 2,810.20

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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.