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Finding the Fourth Proportional to 3,412.92, 4,707.64 and 2,364.78

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Solution

The fourth proportional to 3,412.92, 4,707.64 and 2,364.78 is: 3,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.92 : 4,707.64 = 2,364.78 : x
  2. Step 2: Convert to fraction form
    3,412.92/4,707.64 = 2,364.78/x
  3. Step 3: Cross multiply
    3,412.92x = 4,707.64 × 2,364.78
  4. Step 4: Simplify right side
    3,412.92x = 11,132,532.92
  5. Step 5: Solve for x
    x = 11,132,532.92/3,412.92
  6. Step 6: Final answer
    x = 3,261.88

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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.