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Finding the Fourth Proportional to 4,296.75, 5,930.52 and 2,802.06

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Solution

The fourth proportional to 4,296.75, 5,930.52 and 2,802.06 is: 3,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.75 : 5,930.52 = 2,802.06 : x
  2. Step 2: Convert to fraction form
    4,296.75/5,930.52 = 2,802.06/x
  3. Step 3: Cross multiply
    4,296.75x = 5,930.52 × 2,802.06
  4. Step 4: Simplify right side
    4,296.75x = 16,617,672.87
  5. Step 5: Solve for x
    x = 16,617,672.87/4,296.75
  6. Step 6: Final answer
    x = 3,867.50

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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.