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Finding the Fourth Proportional to 4,951.04, 6,830.97 and 2,826.50

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Solution

The fourth proportional to 4,951.04, 6,830.97 and 2,826.50 is: 3,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.04 : 6,830.97 = 2,826.50 : x
  2. Step 2: Convert to fraction form
    4,951.04/6,830.97 = 2,826.50/x
  3. Step 3: Cross multiply
    4,951.04x = 6,830.97 × 2,826.50
  4. Step 4: Simplify right side
    4,951.04x = 19,307,736.71
  5. Step 5: Solve for x
    x = 19,307,736.71/4,951.04
  6. Step 6: Final answer
    x = 3,899.73

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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.