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Finding the Fourth Proportional to 4,769.84, 6,584.85 and 3,705.22

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Solution

The fourth proportional to 4,769.84, 6,584.85 and 3,705.22 is: 5,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.84 : 6,584.85 = 3,705.22 : x
  2. Step 2: Convert to fraction form
    4,769.84/6,584.85 = 3,705.22/x
  3. Step 3: Cross multiply
    4,769.84x = 6,584.85 × 3,705.22
  4. Step 4: Simplify right side
    4,769.84x = 24,398,266.47
  5. Step 5: Solve for x
    x = 24,398,266.47/4,769.84
  6. Step 6: Final answer
    x = 5,115.12

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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.