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Finding the Fourth Proportional to 3,433.69, 4,740.94 and 2,714.80

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Solution

The fourth proportional to 3,433.69, 4,740.94 and 2,714.80 is: 3,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.69 : 4,740.94 = 2,714.80 : x
  2. Step 2: Convert to fraction form
    3,433.69/4,740.94 = 2,714.80/x
  3. Step 3: Cross multiply
    3,433.69x = 4,740.94 × 2,714.80
  4. Step 4: Simplify right side
    3,433.69x = 12,870,685.27
  5. Step 5: Solve for x
    x = 12,870,685.27/3,433.69
  6. Step 6: Final answer
    x = 3,748.36

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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.