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Finding the Fourth Proportional to 4,904.06, 6,767.43 and 2,807.78

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Solution

The fourth proportional to 4,904.06, 6,767.43 and 2,807.78 is: 3,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.06 : 6,767.43 = 2,807.78 : x
  2. Step 2: Convert to fraction form
    4,904.06/6,767.43 = 2,807.78/x
  3. Step 3: Cross multiply
    4,904.06x = 6,767.43 × 2,807.78
  4. Step 4: Simplify right side
    4,904.06x = 19,001,454.61
  5. Step 5: Solve for x
    x = 19,001,454.61/4,904.06
  6. Step 6: Final answer
    x = 3,874.64

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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.