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Finding the Fourth Proportional to 4,282.57, 6,429.99 and 2,437.39

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Solution

The fourth proportional to 4,282.57, 6,429.99 and 2,437.39 is: 3,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.57 : 6,429.99 = 2,437.39 : x
  2. Step 2: Convert to fraction form
    4,282.57/6,429.99 = 2,437.39/x
  3. Step 3: Cross multiply
    4,282.57x = 6,429.99 × 2,437.39
  4. Step 4: Simplify right side
    4,282.57x = 15,672,393.33
  5. Step 5: Solve for x
    x = 15,672,393.33/4,282.57
  6. Step 6: Final answer
    x = 3,659.58

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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.