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Finding the Fourth Proportional to 5,801.63, 8,006.13 and 3,284.21

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Solution

The fourth proportional to 5,801.63, 8,006.13 and 3,284.21 is: 4,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.63 : 8,006.13 = 3,284.21 : x
  2. Step 2: Convert to fraction form
    5,801.63/8,006.13 = 3,284.21/x
  3. Step 3: Cross multiply
    5,801.63x = 8,006.13 × 3,284.21
  4. Step 4: Simplify right side
    5,801.63x = 26,293,832.22
  5. Step 5: Solve for x
    x = 26,293,832.22/5,801.63
  6. Step 6: Final answer
    x = 4,532.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.