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Finding the Fourth Proportional to 4,295.66, 6,443.02 and 2,097.73

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Solution

The fourth proportional to 4,295.66, 6,443.02 and 2,097.73 is: 3,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.66 : 6,443.02 = 2,097.73 : x
  2. Step 2: Convert to fraction form
    4,295.66/6,443.02 = 2,097.73/x
  3. Step 3: Cross multiply
    4,295.66x = 6,443.02 × 2,097.73
  4. Step 4: Simplify right side
    4,295.66x = 13,515,673.64
  5. Step 5: Solve for x
    x = 13,515,673.64/4,295.66
  6. Step 6: Final answer
    x = 3,146.36

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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.