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Finding the Fourth Proportional to 4,296.59, 6,442.84 and 1,665.33

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Solution

The fourth proportional to 4,296.59, 6,442.84 and 1,665.33 is: 2,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.59 : 6,442.84 = 1,665.33 : x
  2. Step 2: Convert to fraction form
    4,296.59/6,442.84 = 1,665.33/x
  3. Step 3: Cross multiply
    4,296.59x = 6,442.84 × 1,665.33
  4. Step 4: Simplify right side
    4,296.59x = 10,729,454.74
  5. Step 5: Solve for x
    x = 10,729,454.74/4,296.59
  6. Step 6: Final answer
    x = 2,497.20

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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.