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Finding the Fourth Proportional to 3,455.30, 5,182.97 and 1,263.17

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Solution

The fourth proportional to 3,455.30, 5,182.97 and 1,263.17 is: 1,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.30 : 5,182.97 = 1,263.17 : x
  2. Step 2: Convert to fraction form
    3,455.30/5,182.97 = 1,263.17/x
  3. Step 3: Cross multiply
    3,455.30x = 5,182.97 × 1,263.17
  4. Step 4: Simplify right side
    3,455.30x = 6,546,939.98
  5. Step 5: Solve for x
    x = 6,546,939.98/3,455.30
  6. Step 6: Final answer
    x = 1,894.76

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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.