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Finding the Fourth Proportional to 4,786.68, 6,605.11 and 3,605.70

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Solution

The fourth proportional to 4,786.68, 6,605.11 and 3,605.70 is: 4,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.68 : 6,605.11 = 3,605.70 : x
  2. Step 2: Convert to fraction form
    4,786.68/6,605.11 = 3,605.70/x
  3. Step 3: Cross multiply
    4,786.68x = 6,605.11 × 3,605.70
  4. Step 4: Simplify right side
    4,786.68x = 23,816,045.13
  5. Step 5: Solve for x
    x = 23,816,045.13/4,786.68
  6. Step 6: Final answer
    x = 4,975.48

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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.