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Finding the Fourth Proportional to 3,465.84, 5,195.86 and 1,616.01

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Solution

The fourth proportional to 3,465.84, 5,195.86 and 1,616.01 is: 2,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.84 : 5,195.86 = 1,616.01 : x
  2. Step 2: Convert to fraction form
    3,465.84/5,195.86 = 1,616.01/x
  3. Step 3: Cross multiply
    3,465.84x = 5,195.86 × 1,616.01
  4. Step 4: Simplify right side
    3,465.84x = 8,396,561.72
  5. Step 5: Solve for x
    x = 8,396,561.72/3,465.84
  6. Step 6: Final answer
    x = 2,422.66

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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.