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Finding the Fourth Proportional to 4,690.69, 6,474.78 and 2,702.04

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Solution

The fourth proportional to 4,690.69, 6,474.78 and 2,702.04 is: 3,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.69 : 6,474.78 = 2,702.04 : x
  2. Step 2: Convert to fraction form
    4,690.69/6,474.78 = 2,702.04/x
  3. Step 3: Cross multiply
    4,690.69x = 6,474.78 × 2,702.04
  4. Step 4: Simplify right side
    4,690.69x = 17,495,114.55
  5. Step 5: Solve for x
    x = 17,495,114.55/4,690.69
  6. Step 6: Final answer
    x = 3,729.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.