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Finding the Fourth Proportional to 4,776.70, 6,593.24 and 3,185.65

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Solution

The fourth proportional to 4,776.70, 6,593.24 and 3,185.65 is: 4,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.70 : 6,593.24 = 3,185.65 : x
  2. Step 2: Convert to fraction form
    4,776.70/6,593.24 = 3,185.65/x
  3. Step 3: Cross multiply
    4,776.70x = 6,593.24 × 3,185.65
  4. Step 4: Simplify right side
    4,776.70x = 21,003,767.36
  5. Step 5: Solve for x
    x = 21,003,767.36/4,776.70
  6. Step 6: Final answer
    x = 4,397.13

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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.