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Finding the Fourth Proportional to 4,100.61, 5,655.65 and 2,842.14

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Solution

The fourth proportional to 4,100.61, 5,655.65 and 2,842.14 is: 3,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.61 : 5,655.65 = 2,842.14 : x
  2. Step 2: Convert to fraction form
    4,100.61/5,655.65 = 2,842.14/x
  3. Step 3: Cross multiply
    4,100.61x = 5,655.65 × 2,842.14
  4. Step 4: Simplify right side
    4,100.61x = 16,074,134.88
  5. Step 5: Solve for x
    x = 16,074,134.88/4,100.61
  6. Step 6: Final answer
    x = 3,919.94

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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.