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Finding the Fourth Proportional to 3,861.40, 5,792.34 and 1,913.08

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Solution

The fourth proportional to 3,861.40, 5,792.34 and 1,913.08 is: 2,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.40 : 5,792.34 = 1,913.08 : x
  2. Step 2: Convert to fraction form
    3,861.40/5,792.34 = 1,913.08/x
  3. Step 3: Cross multiply
    3,861.40x = 5,792.34 × 1,913.08
  4. Step 4: Simplify right side
    3,861.40x = 11,081,209.81
  5. Step 5: Solve for x
    x = 11,081,209.81/3,861.40
  6. Step 6: Final answer
    x = 2,869.74

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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.