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Finding the Fourth Proportional to 3,426, 4,729.32 and 2,184.72

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Solution

The fourth proportional to 3,426, 4,729.32 and 2,184.72 is: 3,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426 : 4,729.32 = 2,184.72 : x
  2. Step 2: Convert to fraction form
    3,426/4,729.32 = 2,184.72/x
  3. Step 3: Cross multiply
    3,426x = 4,729.32 × 2,184.72
  4. Step 4: Simplify right side
    3,426x = 10,332,239.99
  5. Step 5: Solve for x
    x = 10,332,239.99/3,426
  6. Step 6: Final answer
    x = 3,015.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.