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Finding the Fourth Proportional to 3,843.95, 5,758.63 and 2,280.65

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Solution

The fourth proportional to 3,843.95, 5,758.63 and 2,280.65 is: 3,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.95 : 5,758.63 = 2,280.65 : x
  2. Step 2: Convert to fraction form
    3,843.95/5,758.63 = 2,280.65/x
  3. Step 3: Cross multiply
    3,843.95x = 5,758.63 × 2,280.65
  4. Step 4: Simplify right side
    3,843.95x = 13,133,385.01
  5. Step 5: Solve for x
    x = 13,133,385.01/3,843.95
  6. Step 6: Final answer
    x = 3,416.64

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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.