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Finding the Fourth Proportional to 3,672.60, 5,069.47 and 2,181.80

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Solution

The fourth proportional to 3,672.60, 5,069.47 and 2,181.80 is: 3,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.60 : 5,069.47 = 2,181.80 : x
  2. Step 2: Convert to fraction form
    3,672.60/5,069.47 = 2,181.80/x
  3. Step 3: Cross multiply
    3,672.60x = 5,069.47 × 2,181.80
  4. Step 4: Simplify right side
    3,672.60x = 11,060,569.65
  5. Step 5: Solve for x
    x = 11,060,569.65/3,672.60
  6. Step 6: Final answer
    x = 3,011.65

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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.