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Finding the Fourth Proportional to 3,686.16, 5,087.52 and 2,114.40

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Solution

The fourth proportional to 3,686.16, 5,087.52 and 2,114.40 is: 2,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.16 : 5,087.52 = 2,114.40 : x
  2. Step 2: Convert to fraction form
    3,686.16/5,087.52 = 2,114.40/x
  3. Step 3: Cross multiply
    3,686.16x = 5,087.52 × 2,114.40
  4. Step 4: Simplify right side
    3,686.16x = 10,757,052.29
  5. Step 5: Solve for x
    x = 10,757,052.29/3,686.16
  6. Step 6: Final answer
    x = 2,918.23

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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.