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Finding the Fourth Proportional to 4,904.69, 6,768.47 and 2,809.22

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Solution

The fourth proportional to 4,904.69, 6,768.47 and 2,809.22 is: 3,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.69 : 6,768.47 = 2,809.22 : x
  2. Step 2: Convert to fraction form
    4,904.69/6,768.47 = 2,809.22/x
  3. Step 3: Cross multiply
    4,904.69x = 6,768.47 × 2,809.22
  4. Step 4: Simplify right side
    4,904.69x = 19,014,121.29
  5. Step 5: Solve for x
    x = 19,014,121.29/4,904.69
  6. Step 6: Final answer
    x = 3,876.72

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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.