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Finding the Fourth Proportional to 3,011.76, 4,164.30 and 2,642.76

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Solution

The fourth proportional to 3,011.76, 4,164.30 and 2,642.76 is: 3,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.76 : 4,164.30 = 2,642.76 : x
  2. Step 2: Convert to fraction form
    3,011.76/4,164.30 = 2,642.76/x
  3. Step 3: Cross multiply
    3,011.76x = 4,164.30 × 2,642.76
  4. Step 4: Simplify right side
    3,011.76x = 11,005,245.47
  5. Step 5: Solve for x
    x = 11,005,245.47/3,011.76
  6. Step 6: Final answer
    x = 3,654.09

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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.