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Finding the Fourth Proportional to 4,476.12, 6,710.94 and 2,166

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Solution

The fourth proportional to 4,476.12, 6,710.94 and 2,166 is: 3,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.12 : 6,710.94 = 2,166 : x
  2. Step 2: Convert to fraction form
    4,476.12/6,710.94 = 2,166/x
  3. Step 3: Cross multiply
    4,476.12x = 6,710.94 × 2,166
  4. Step 4: Simplify right side
    4,476.12x = 14,535,896.04
  5. Step 5: Solve for x
    x = 14,535,896.04/4,476.12
  6. Step 6: Final answer
    x = 3,247.43

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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.