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Finding the Fourth Proportional to 3,207.95, 4,812.41 and 1,359.08

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Solution

The fourth proportional to 3,207.95, 4,812.41 and 1,359.08 is: 2,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.95 : 4,812.41 = 1,359.08 : x
  2. Step 2: Convert to fraction form
    3,207.95/4,812.41 = 1,359.08/x
  3. Step 3: Cross multiply
    3,207.95x = 4,812.41 × 1,359.08
  4. Step 4: Simplify right side
    3,207.95x = 6,540,429.52
  5. Step 5: Solve for x
    x = 6,540,429.52/3,207.95
  6. Step 6: Final answer
    x = 2,038.82

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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.