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Finding the Fourth Proportional to 3,465.87, 4,783.10 and 2,286.11

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Solution

The fourth proportional to 3,465.87, 4,783.10 and 2,286.11 is: 3,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.87 : 4,783.10 = 2,286.11 : x
  2. Step 2: Convert to fraction form
    3,465.87/4,783.10 = 2,286.11/x
  3. Step 3: Cross multiply
    3,465.87x = 4,783.10 × 2,286.11
  4. Step 4: Simplify right side
    3,465.87x = 10,934,657.39
  5. Step 5: Solve for x
    x = 10,934,657.39/3,465.87
  6. Step 6: Final answer
    x = 3,154.95

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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.