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Finding the Fourth Proportional to 3,911.42, 5,865.91 and 1,313.76

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Solution

The fourth proportional to 3,911.42, 5,865.91 and 1,313.76 is: 1,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.42 : 5,865.91 = 1,313.76 : x
  2. Step 2: Convert to fraction form
    3,911.42/5,865.91 = 1,313.76/x
  3. Step 3: Cross multiply
    3,911.42x = 5,865.91 × 1,313.76
  4. Step 4: Simplify right side
    3,911.42x = 7,706,397.92
  5. Step 5: Solve for x
    x = 7,706,397.92/3,911.42
  6. Step 6: Final answer
    x = 1,970.23

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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.