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Finding the Fourth Proportional to 4,599.66, 6,896.70 and 2,066.30

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Solution

The fourth proportional to 4,599.66, 6,896.70 and 2,066.30 is: 3,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.66 : 6,896.70 = 2,066.30 : x
  2. Step 2: Convert to fraction form
    4,599.66/6,896.70 = 2,066.30/x
  3. Step 3: Cross multiply
    4,599.66x = 6,896.70 × 2,066.30
  4. Step 4: Simplify right side
    4,599.66x = 14,250,651.21
  5. Step 5: Solve for x
    x = 14,250,651.21/4,599.66
  6. Step 6: Final answer
    x = 3,098.20

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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.