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Finding the Fourth Proportional to 3,801.35, 5,702.34 and 2,913.17

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Solution

The fourth proportional to 3,801.35, 5,702.34 and 2,913.17 is: 4,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.35 : 5,702.34 = 2,913.17 : x
  2. Step 2: Convert to fraction form
    3,801.35/5,702.34 = 2,913.17/x
  3. Step 3: Cross multiply
    3,801.35x = 5,702.34 × 2,913.17
  4. Step 4: Simplify right side
    3,801.35x = 16,611,857.31
  5. Step 5: Solve for x
    x = 16,611,857.31/3,801.35
  6. Step 6: Final answer
    x = 4,369.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.