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Finding the Fourth Proportional to 3,369.47, 5,055.42 and 1,178.52

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Solution

The fourth proportional to 3,369.47, 5,055.42 and 1,178.52 is: 1,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.47 : 5,055.42 = 1,178.52 : x
  2. Step 2: Convert to fraction form
    3,369.47/5,055.42 = 1,178.52/x
  3. Step 3: Cross multiply
    3,369.47x = 5,055.42 × 1,178.52
  4. Step 4: Simplify right side
    3,369.47x = 5,957,913.58
  5. Step 5: Solve for x
    x = 5,957,913.58/3,369.47
  6. Step 6: Final answer
    x = 1,768.20

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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.