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Finding the Fourth Proportional to 4,660.47, 6,989.79 and 2,194.63

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Solution

The fourth proportional to 4,660.47, 6,989.79 and 2,194.63 is: 3,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.47 : 6,989.79 = 2,194.63 : x
  2. Step 2: Convert to fraction form
    4,660.47/6,989.79 = 2,194.63/x
  3. Step 3: Cross multiply
    4,660.47x = 6,989.79 × 2,194.63
  4. Step 4: Simplify right side
    4,660.47x = 15,340,002.83
  5. Step 5: Solve for x
    x = 15,340,002.83/4,660.47
  6. Step 6: Final answer
    x = 3,291.51

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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.