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Finding the Fourth Proportional to 4,612.74, 6,921.86 and 2,422.10

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Solution

The fourth proportional to 4,612.74, 6,921.86 and 2,422.10 is: 3,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.74 : 6,921.86 = 2,422.10 : x
  2. Step 2: Convert to fraction form
    4,612.74/6,921.86 = 2,422.10/x
  3. Step 3: Cross multiply
    4,612.74x = 6,921.86 × 2,422.10
  4. Step 4: Simplify right side
    4,612.74x = 16,765,437.11
  5. Step 5: Solve for x
    x = 16,765,437.11/4,612.74
  6. Step 6: Final answer
    x = 3,634.59

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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.