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Finding the Fourth Proportional to 3,412.79, 4,710.96 and 2,296.91

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Solution

The fourth proportional to 3,412.79, 4,710.96 and 2,296.91 is: 3,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.79 : 4,710.96 = 2,296.91 : x
  2. Step 2: Convert to fraction form
    3,412.79/4,710.96 = 2,296.91/x
  3. Step 3: Cross multiply
    3,412.79x = 4,710.96 × 2,296.91
  4. Step 4: Simplify right side
    3,412.79x = 10,820,627.58
  5. Step 5: Solve for x
    x = 10,820,627.58/3,412.79
  6. Step 6: Final answer
    x = 3,170.62

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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.