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Finding the Fourth Proportional to 3,412.96, 4,708.08 and 2,086.72

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Solution

The fourth proportional to 3,412.96, 4,708.08 and 2,086.72 is: 2,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.96 : 4,708.08 = 2,086.72 : x
  2. Step 2: Convert to fraction form
    3,412.96/4,708.08 = 2,086.72/x
  3. Step 3: Cross multiply
    3,412.96x = 4,708.08 × 2,086.72
  4. Step 4: Simplify right side
    3,412.96x = 9,824,444.70
  5. Step 5: Solve for x
    x = 9,824,444.70/3,412.96
  6. Step 6: Final answer
    x = 2,878.57

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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.