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Finding the Fourth Proportional to 4,767.66, 6,575.67 and 3,086.10

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Solution

The fourth proportional to 4,767.66, 6,575.67 and 3,086.10 is: 4,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.66 : 6,575.67 = 3,086.10 : x
  2. Step 2: Convert to fraction form
    4,767.66/6,575.67 = 3,086.10/x
  3. Step 3: Cross multiply
    4,767.66x = 6,575.67 × 3,086.10
  4. Step 4: Simplify right side
    4,767.66x = 20,293,175.19
  5. Step 5: Solve for x
    x = 20,293,175.19/4,767.66
  6. Step 6: Final answer
    x = 4,256.42

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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.