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Finding the Fourth Proportional to 3,855.47, 5,318.78 and 2,282.63

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Solution

The fourth proportional to 3,855.47, 5,318.78 and 2,282.63 is: 3,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.47 : 5,318.78 = 2,282.63 : x
  2. Step 2: Convert to fraction form
    3,855.47/5,318.78 = 2,282.63/x
  3. Step 3: Cross multiply
    3,855.47x = 5,318.78 × 2,282.63
  4. Step 4: Simplify right side
    3,855.47x = 12,140,768.78
  5. Step 5: Solve for x
    x = 12,140,768.78/3,855.47
  6. Step 6: Final answer
    x = 3,148.98

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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.