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Finding the Fourth Proportional to 3,795.70, 5,690.08 and 3,214.44

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Solution

The fourth proportional to 3,795.70, 5,690.08 and 3,214.44 is: 4,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.70 : 5,690.08 = 3,214.44 : x
  2. Step 2: Convert to fraction form
    3,795.70/5,690.08 = 3,214.44/x
  3. Step 3: Cross multiply
    3,795.70x = 5,690.08 × 3,214.44
  4. Step 4: Simplify right side
    3,795.70x = 18,290,420.76
  5. Step 5: Solve for x
    x = 18,290,420.76/3,795.70
  6. Step 6: Final answer
    x = 4,818.72

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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.