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Finding the Fourth Proportional to 3,717.99, 5,574.15 and 1,377.09

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Solution

The fourth proportional to 3,717.99, 5,574.15 and 1,377.09 is: 2,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.99 : 5,574.15 = 1,377.09 : x
  2. Step 2: Convert to fraction form
    3,717.99/5,574.15 = 1,377.09/x
  3. Step 3: Cross multiply
    3,717.99x = 5,574.15 × 1,377.09
  4. Step 4: Simplify right side
    3,717.99x = 7,676,106.22
  5. Step 5: Solve for x
    x = 7,676,106.22/3,717.99
  6. Step 6: Final answer
    x = 2,064.58

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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.