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Finding the Fourth Proportional to 3,184.74, 4,775.94 and 1,104.21

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Solution

The fourth proportional to 3,184.74, 4,775.94 and 1,104.21 is: 1,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.74 : 4,775.94 = 1,104.21 : x
  2. Step 2: Convert to fraction form
    3,184.74/4,775.94 = 1,104.21/x
  3. Step 3: Cross multiply
    3,184.74x = 4,775.94 × 1,104.21
  4. Step 4: Simplify right side
    3,184.74x = 5,273,640.71
  5. Step 5: Solve for x
    x = 5,273,640.71/3,184.74
  6. Step 6: Final answer
    x = 1,655.91

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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.