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Finding the Fourth Proportional to 3,689.45, 5,504.86 and 3,428.16

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Solution

The fourth proportional to 3,689.45, 5,504.86 and 3,428.16 is: 5,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.45 : 5,504.86 = 3,428.16 : x
  2. Step 2: Convert to fraction form
    3,689.45/5,504.86 = 3,428.16/x
  3. Step 3: Cross multiply
    3,689.45x = 5,504.86 × 3,428.16
  4. Step 4: Simplify right side
    3,689.45x = 18,871,540.86
  5. Step 5: Solve for x
    x = 18,871,540.86/3,689.45
  6. Step 6: Final answer
    x = 5,115.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.