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Finding the Fourth Proportional to 4,660.34, 6,995.97 and 3,267.95

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Solution

The fourth proportional to 4,660.34, 6,995.97 and 3,267.95 is: 4,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.34 : 6,995.97 = 3,267.95 : x
  2. Step 2: Convert to fraction form
    4,660.34/6,995.97 = 3,267.95/x
  3. Step 3: Cross multiply
    4,660.34x = 6,995.97 × 3,267.95
  4. Step 4: Simplify right side
    4,660.34x = 22,862,445.18
  5. Step 5: Solve for x
    x = 22,862,445.18/4,660.34
  6. Step 6: Final answer
    x = 4,905.75

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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.