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Finding the Fourth Proportional to 4,786.65, 6,605.13 and 2,661.94

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Solution

The fourth proportional to 4,786.65, 6,605.13 and 2,661.94 is: 3,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.65 : 6,605.13 = 2,661.94 : x
  2. Step 2: Convert to fraction form
    4,786.65/6,605.13 = 2,661.94/x
  3. Step 3: Cross multiply
    4,786.65x = 6,605.13 × 2,661.94
  4. Step 4: Simplify right side
    4,786.65x = 17,582,459.75
  5. Step 5: Solve for x
    x = 17,582,459.75/4,786.65
  6. Step 6: Final answer
    x = 3,673.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.