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Finding the Fourth Proportional to 3,397.46, 4,689.83 and 2,277.99

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Solution

The fourth proportional to 3,397.46, 4,689.83 and 2,277.99 is: 3,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.46 : 4,689.83 = 2,277.99 : x
  2. Step 2: Convert to fraction form
    3,397.46/4,689.83 = 2,277.99/x
  3. Step 3: Cross multiply
    3,397.46x = 4,689.83 × 2,277.99
  4. Step 4: Simplify right side
    3,397.46x = 10,683,385.84
  5. Step 5: Solve for x
    x = 10,683,385.84/3,397.46
  6. Step 6: Final answer
    x = 3,144.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.