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Finding the Fourth Proportional to 4,207.68, 6,311.12 and 3,043.17

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Solution

The fourth proportional to 4,207.68, 6,311.12 and 3,043.17 is: 4,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.68 : 6,311.12 = 3,043.17 : x
  2. Step 2: Convert to fraction form
    4,207.68/6,311.12 = 3,043.17/x
  3. Step 3: Cross multiply
    4,207.68x = 6,311.12 × 3,043.17
  4. Step 4: Simplify right side
    4,207.68x = 19,205,795.83
  5. Step 5: Solve for x
    x = 19,205,795.83/4,207.68
  6. Step 6: Final answer
    x = 4,564.46

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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.