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Finding the Fourth Proportional to 4,651.66, 6,982.35 and 2,921.50

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Solution

The fourth proportional to 4,651.66, 6,982.35 and 2,921.50 is: 4,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.66 : 6,982.35 = 2,921.50 : x
  2. Step 2: Convert to fraction form
    4,651.66/6,982.35 = 2,921.50/x
  3. Step 3: Cross multiply
    4,651.66x = 6,982.35 × 2,921.50
  4. Step 4: Simplify right side
    4,651.66x = 20,398,935.53
  5. Step 5: Solve for x
    x = 20,398,935.53/4,651.66
  6. Step 6: Final answer
    x = 4,385.30

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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.