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Finding the Fourth Proportional to 3,874.95, 5,347.80 and 2,196.44

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Solution

The fourth proportional to 3,874.95, 5,347.80 and 2,196.44 is: 3,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.95 : 5,347.80 = 2,196.44 : x
  2. Step 2: Convert to fraction form
    3,874.95/5,347.80 = 2,196.44/x
  3. Step 3: Cross multiply
    3,874.95x = 5,347.80 × 2,196.44
  4. Step 4: Simplify right side
    3,874.95x = 11,746,095.09
  5. Step 5: Solve for x
    x = 11,746,095.09/3,874.95
  6. Step 6: Final answer
    x = 3,031.29

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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.