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Finding the Fourth Proportional to 3,364.40, 5,046.61 and 1,515.17

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Solution

The fourth proportional to 3,364.40, 5,046.61 and 1,515.17 is: 2,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.40 : 5,046.61 = 1,515.17 : x
  2. Step 2: Convert to fraction form
    3,364.40/5,046.61 = 1,515.17/x
  3. Step 3: Cross multiply
    3,364.40x = 5,046.61 × 1,515.17
  4. Step 4: Simplify right side
    3,364.40x = 7,646,477.11
  5. Step 5: Solve for x
    x = 7,646,477.11/3,364.40
  6. Step 6: Final answer
    x = 2,272.76

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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.