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Finding the Fourth Proportional to 4,284.64, 6,428.78 and 1,512.82

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Solution

The fourth proportional to 4,284.64, 6,428.78 and 1,512.82 is: 2,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.64 : 6,428.78 = 1,512.82 : x
  2. Step 2: Convert to fraction form
    4,284.64/6,428.78 = 1,512.82/x
  3. Step 3: Cross multiply
    4,284.64x = 6,428.78 × 1,512.82
  4. Step 4: Simplify right side
    4,284.64x = 9,725,586.96
  5. Step 5: Solve for x
    x = 9,725,586.96/4,284.64
  6. Step 6: Final answer
    x = 2,269.87

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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.