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Finding the Fourth Proportional to 3,810.35, 5,702.85 and 3,353.63

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Solution

The fourth proportional to 3,810.35, 5,702.85 and 3,353.63 is: 5,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.35 : 5,702.85 = 3,353.63 : x
  2. Step 2: Convert to fraction form
    3,810.35/5,702.85 = 3,353.63/x
  3. Step 3: Cross multiply
    3,810.35x = 5,702.85 × 3,353.63
  4. Step 4: Simplify right side
    3,810.35x = 19,125,220.33
  5. Step 5: Solve for x
    x = 19,125,220.33/3,810.35
  6. Step 6: Final answer
    x = 5,019.29

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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.