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Finding the Fourth Proportional to 5,741.76, 8,614.08 and 1,846.08

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Solution

The fourth proportional to 5,741.76, 8,614.08 and 1,846.08 is: 2,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.76 : 8,614.08 = 1,846.08 : x
  2. Step 2: Convert to fraction form
    5,741.76/8,614.08 = 1,846.08/x
  3. Step 3: Cross multiply
    5,741.76x = 8,614.08 × 1,846.08
  4. Step 4: Simplify right side
    5,741.76x = 15,902,280.81
  5. Step 5: Solve for x
    x = 15,902,280.81/5,741.76
  6. Step 6: Final answer
    x = 2,769.58

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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.