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Finding the Fourth Proportional to 3,206.87, 4,787.07 and 2,770.91

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Solution

The fourth proportional to 3,206.87, 4,787.07 and 2,770.91 is: 4,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.87 : 4,787.07 = 2,770.91 : x
  2. Step 2: Convert to fraction form
    3,206.87/4,787.07 = 2,770.91/x
  3. Step 3: Cross multiply
    3,206.87x = 4,787.07 × 2,770.91
  4. Step 4: Simplify right side
    3,206.87x = 13,264,547.14
  5. Step 5: Solve for x
    x = 13,264,547.14/3,206.87
  6. Step 6: Final answer
    x = 4,136.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.