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Finding the Fourth Proportional to 4,284.67, 6,427.21 and 1,363

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Solution

The fourth proportional to 4,284.67, 6,427.21 and 1,363 is: 2,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.67 : 6,427.21 = 1,363 : x
  2. Step 2: Convert to fraction form
    4,284.67/6,427.21 = 1,363/x
  3. Step 3: Cross multiply
    4,284.67x = 6,427.21 × 1,363
  4. Step 4: Simplify right side
    4,284.67x = 8,760,287.23
  5. Step 5: Solve for x
    x = 8,760,287.23/4,284.67
  6. Step 6: Final answer
    x = 2,044.57

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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.