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Finding the Fourth Proportional to 3,911.58, 5,868.18 and 1,316.34

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Solution

The fourth proportional to 3,911.58, 5,868.18 and 1,316.34 is: 1,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.58 : 5,868.18 = 1,316.34 : x
  2. Step 2: Convert to fraction form
    3,911.58/5,868.18 = 1,316.34/x
  3. Step 3: Cross multiply
    3,911.58x = 5,868.18 × 1,316.34
  4. Step 4: Simplify right side
    3,911.58x = 7,724,520.06
  5. Step 5: Solve for x
    x = 7,724,520.06/3,911.58
  6. Step 6: Final answer
    x = 1,974.78

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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.