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Finding the Fourth Proportional to 5,178.45, 7,146.45 and 3,055.44

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Solution

The fourth proportional to 5,178.45, 7,146.45 and 3,055.44 is: 4,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.45 : 7,146.45 = 3,055.44 : x
  2. Step 2: Convert to fraction form
    5,178.45/7,146.45 = 3,055.44/x
  3. Step 3: Cross multiply
    5,178.45x = 7,146.45 × 3,055.44
  4. Step 4: Simplify right side
    5,178.45x = 21,835,549.19
  5. Step 5: Solve for x
    x = 21,835,549.19/5,178.45
  6. Step 6: Final answer
    x = 4,216.62

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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.