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Finding the Fourth Proportional to 4,562.64, 6,834.69 and 3,393.90

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Solution

The fourth proportional to 4,562.64, 6,834.69 and 3,393.90 is: 5,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.64 : 6,834.69 = 3,393.90 : x
  2. Step 2: Convert to fraction form
    4,562.64/6,834.69 = 3,393.90/x
  3. Step 3: Cross multiply
    4,562.64x = 6,834.69 × 3,393.90
  4. Step 4: Simplify right side
    4,562.64x = 23,196,254.39
  5. Step 5: Solve for x
    x = 23,196,254.39/4,562.64
  6. Step 6: Final answer
    x = 5,083.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.