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Finding the Fourth Proportional to 3,875.94, 5,812.98 and 1,794.65

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Solution

The fourth proportional to 3,875.94, 5,812.98 and 1,794.65 is: 2,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.94 : 5,812.98 = 1,794.65 : x
  2. Step 2: Convert to fraction form
    3,875.94/5,812.98 = 1,794.65/x
  3. Step 3: Cross multiply
    3,875.94x = 5,812.98 × 1,794.65
  4. Step 4: Simplify right side
    3,875.94x = 10,432,235.49
  5. Step 5: Solve for x
    x = 10,432,235.49/3,875.94
  6. Step 6: Final answer
    x = 2,691.54

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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.