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Finding the Fourth Proportional to 3,456.74, 5,184.20 and 1,376.66

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Solution

The fourth proportional to 3,456.74, 5,184.20 and 1,376.66 is: 2,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.74 : 5,184.20 = 1,376.66 : x
  2. Step 2: Convert to fraction form
    3,456.74/5,184.20 = 1,376.66/x
  3. Step 3: Cross multiply
    3,456.74x = 5,184.20 × 1,376.66
  4. Step 4: Simplify right side
    3,456.74x = 7,136,880.77
  5. Step 5: Solve for x
    x = 7,136,880.77/3,456.74
  6. Step 6: Final answer
    x = 2,064.63

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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.