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Finding the Fourth Proportional to 3,661.84, 5,496.40 and 2,019.16

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Solution

The fourth proportional to 3,661.84, 5,496.40 and 2,019.16 is: 3,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.84 : 5,496.40 = 2,019.16 : x
  2. Step 2: Convert to fraction form
    3,661.84/5,496.40 = 2,019.16/x
  3. Step 3: Cross multiply
    3,661.84x = 5,496.40 × 2,019.16
  4. Step 4: Simplify right side
    3,661.84x = 11,098,111.02
  5. Step 5: Solve for x
    x = 11,098,111.02/3,661.84
  6. Step 6: Final answer
    x = 3,030.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.