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Finding the Fourth Proportional to 3,226.86, 4,841.28 and 2,347.74

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Solution

The fourth proportional to 3,226.86, 4,841.28 and 2,347.74 is: 3,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.86 : 4,841.28 = 2,347.74 : x
  2. Step 2: Convert to fraction form
    3,226.86/4,841.28 = 2,347.74/x
  3. Step 3: Cross multiply
    3,226.86x = 4,841.28 × 2,347.74
  4. Step 4: Simplify right side
    3,226.86x = 11,366,066.71
  5. Step 5: Solve for x
    x = 11,366,066.71/3,226.86
  6. Step 6: Final answer
    x = 3,522.33

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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.