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Finding the Fourth Proportional to 3,861.68, 5,795.32 and 2,626.16

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Solution

The fourth proportional to 3,861.68, 5,795.32 and 2,626.16 is: 3,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.68 : 5,795.32 = 2,626.16 : x
  2. Step 2: Convert to fraction form
    3,861.68/5,795.32 = 2,626.16/x
  3. Step 3: Cross multiply
    3,861.68x = 5,795.32 × 2,626.16
  4. Step 4: Simplify right side
    3,861.68x = 15,219,437.57
  5. Step 5: Solve for x
    x = 15,219,437.57/3,861.68
  6. Step 6: Final answer
    x = 3,941.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.