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Finding the Fourth Proportional to 4,367.93, 6,541.71 and 3,195

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Solution

The fourth proportional to 4,367.93, 6,541.71 and 3,195 is: 4,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.93 : 6,541.71 = 3,195 : x
  2. Step 2: Convert to fraction form
    4,367.93/6,541.71 = 3,195/x
  3. Step 3: Cross multiply
    4,367.93x = 6,541.71 × 3,195
  4. Step 4: Simplify right side
    4,367.93x = 20,900,763.45
  5. Step 5: Solve for x
    x = 20,900,763.45/4,367.93
  6. Step 6: Final answer
    x = 4,785.06

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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.