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Finding the Fourth Proportional to 4,902.84, 6,766.56 and 2,807.10

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Solution

The fourth proportional to 4,902.84, 6,766.56 and 2,807.10 is: 3,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.84 : 6,766.56 = 2,807.10 : x
  2. Step 2: Convert to fraction form
    4,902.84/6,766.56 = 2,807.10/x
  3. Step 3: Cross multiply
    4,902.84x = 6,766.56 × 2,807.10
  4. Step 4: Simplify right side
    4,902.84x = 18,994,410.58
  5. Step 5: Solve for x
    x = 18,994,410.58/4,902.84
  6. Step 6: Final answer
    x = 3,874.16

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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.