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Finding the Fourth Proportional to 3,294.42, 4,930.08 and 2,702.10

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Solution

The fourth proportional to 3,294.42, 4,930.08 and 2,702.10 is: 4,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.42 : 4,930.08 = 2,702.10 : x
  2. Step 2: Convert to fraction form
    3,294.42/4,930.08 = 2,702.10/x
  3. Step 3: Cross multiply
    3,294.42x = 4,930.08 × 2,702.10
  4. Step 4: Simplify right side
    3,294.42x = 13,321,577.52
  5. Step 5: Solve for x
    x = 13,321,577.52/3,294.42
  6. Step 6: Final answer
    x = 4,043.68

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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.