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Finding the Fourth Proportional to 3,376.47, 5,065.22 and 1,184.82

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Solution

The fourth proportional to 3,376.47, 5,065.22 and 1,184.82 is: 1,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.47 : 5,065.22 = 1,184.82 : x
  2. Step 2: Convert to fraction form
    3,376.47/5,065.22 = 1,184.82/x
  3. Step 3: Cross multiply
    3,376.47x = 5,065.22 × 1,184.82
  4. Step 4: Simplify right side
    3,376.47x = 6,001,373.96
  5. Step 5: Solve for x
    x = 6,001,373.96/3,376.47
  6. Step 6: Final answer
    x = 1,777.41

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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.