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Finding the Fourth Proportional to 3,465.93, 5,222.28 and 2,863.14

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Solution

The fourth proportional to 3,465.93, 5,222.28 and 2,863.14 is: 4,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.93 : 5,222.28 = 2,863.14 : x
  2. Step 2: Convert to fraction form
    3,465.93/5,222.28 = 2,863.14/x
  3. Step 3: Cross multiply
    3,465.93x = 5,222.28 × 2,863.14
  4. Step 4: Simplify right side
    3,465.93x = 14,952,109.91
  5. Step 5: Solve for x
    x = 14,952,109.91/3,465.93
  6. Step 6: Final answer
    x = 4,314.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.