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Finding the Fourth Proportional to 3,687.12, 5,088 and 2,195.16

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Solution

The fourth proportional to 3,687.12, 5,088 and 2,195.16 is: 3,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.12 : 5,088 = 2,195.16 : x
  2. Step 2: Convert to fraction form
    3,687.12/5,088 = 2,195.16/x
  3. Step 3: Cross multiply
    3,687.12x = 5,088 × 2,195.16
  4. Step 4: Simplify right side
    3,687.12x = 11,168,974.08
  5. Step 5: Solve for x
    x = 11,168,974.08/3,687.12
  6. Step 6: Final answer
    x = 3,029.19

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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.