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Finding the Fourth Proportional to 4,578.39, 6,314.22 and 2,897.91

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Solution

The fourth proportional to 4,578.39, 6,314.22 and 2,897.91 is: 3,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.39 : 6,314.22 = 2,897.91 : x
  2. Step 2: Convert to fraction form
    4,578.39/6,314.22 = 2,897.91/x
  3. Step 3: Cross multiply
    4,578.39x = 6,314.22 × 2,897.91
  4. Step 4: Simplify right side
    4,578.39x = 18,298,041.28
  5. Step 5: Solve for x
    x = 18,298,041.28/4,578.39
  6. Step 6: Final answer
    x = 3,996.61

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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.