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Finding the Fourth Proportional to 3,880.51, 5,356.94 and 2,286.66

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Solution

The fourth proportional to 3,880.51, 5,356.94 and 2,286.66 is: 3,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.51 : 5,356.94 = 2,286.66 : x
  2. Step 2: Convert to fraction form
    3,880.51/5,356.94 = 2,286.66/x
  3. Step 3: Cross multiply
    3,880.51x = 5,356.94 × 2,286.66
  4. Step 4: Simplify right side
    3,880.51x = 12,249,509.08
  5. Step 5: Solve for x
    x = 12,249,509.08/3,880.51
  6. Step 6: Final answer
    x = 3,156.68

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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.