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Finding the Fourth Proportional to 3,686.47, 5,087.99 and 2,195.25

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Solution

The fourth proportional to 3,686.47, 5,087.99 and 2,195.25 is: 3,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.47 : 5,087.99 = 2,195.25 : x
  2. Step 2: Convert to fraction form
    3,686.47/5,087.99 = 2,195.25/x
  3. Step 3: Cross multiply
    3,686.47x = 5,087.99 × 2,195.25
  4. Step 4: Simplify right side
    3,686.47x = 11,169,399.07
  5. Step 5: Solve for x
    x = 11,169,399.07/3,686.47
  6. Step 6: Final answer
    x = 3,029.84

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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.