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Finding the Fourth Proportional to 4,089.42, 6,134.00 and 2,241.41

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Solution

The fourth proportional to 4,089.42, 6,134.00 and 2,241.41 is: 3,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.42 : 6,134.00 = 2,241.41 : x
  2. Step 2: Convert to fraction form
    4,089.42/6,134.00 = 2,241.41/x
  3. Step 3: Cross multiply
    4,089.42x = 6,134.00 × 2,241.41
  4. Step 4: Simplify right side
    4,089.42x = 13,748,767.06
  5. Step 5: Solve for x
    x = 13,748,767.06/4,089.42
  6. Step 6: Final answer
    x = 3,362.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.