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Finding the Fourth Proportional to 4,143.91, 5,718.59 and 2,280.91

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Solution

The fourth proportional to 4,143.91, 5,718.59 and 2,280.91 is: 3,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.91 : 5,718.59 = 2,280.91 : x
  2. Step 2: Convert to fraction form
    4,143.91/5,718.59 = 2,280.91/x
  3. Step 3: Cross multiply
    4,143.91x = 5,718.59 × 2,280.91
  4. Step 4: Simplify right side
    4,143.91x = 13,043,574.82
  5. Step 5: Solve for x
    x = 13,043,574.82/4,143.91
  6. Step 6: Final answer
    x = 3,147.65

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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.