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Finding the Fourth Proportional to 3,479.63, 5,216.77 and 1,138.22

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Solution

The fourth proportional to 3,479.63, 5,216.77 and 1,138.22 is: 1,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.63 : 5,216.77 = 1,138.22 : x
  2. Step 2: Convert to fraction form
    3,479.63/5,216.77 = 1,138.22/x
  3. Step 3: Cross multiply
    3,479.63x = 5,216.77 × 1,138.22
  4. Step 4: Simplify right side
    3,479.63x = 5,937,800.17
  5. Step 5: Solve for x
    x = 5,937,800.17/3,479.63
  6. Step 6: Final answer
    x = 1,706.45

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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.