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Finding the Fourth Proportional to 3,855.47, 5,778.16 and 1,548.59

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Solution

The fourth proportional to 3,855.47, 5,778.16 and 1,548.59 is: 2,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.47 : 5,778.16 = 1,548.59 : x
  2. Step 2: Convert to fraction form
    3,855.47/5,778.16 = 1,548.59/x
  3. Step 3: Cross multiply
    3,855.47x = 5,778.16 × 1,548.59
  4. Step 4: Simplify right side
    3,855.47x = 8,947,968.03
  5. Step 5: Solve for x
    x = 8,947,968.03/3,855.47
  6. Step 6: Final answer
    x = 2,320.85

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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.