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Finding the Fourth Proportional to 5,741.76, 8,613.99 and 2,279.01

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Solution

The fourth proportional to 5,741.76, 8,613.99 and 2,279.01 is: 3,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.76 : 8,613.99 = 2,279.01 : x
  2. Step 2: Convert to fraction form
    5,741.76/8,613.99 = 2,279.01/x
  3. Step 3: Cross multiply
    5,741.76x = 8,613.99 × 2,279.01
  4. Step 4: Simplify right side
    5,741.76x = 19,631,369.35
  5. Step 5: Solve for x
    x = 19,631,369.35/5,741.76
  6. Step 6: Final answer
    x = 3,419.05

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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.