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Finding the Fourth Proportional to 5,243.72, 7,873.42 and 4,543.08

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Solution

The fourth proportional to 5,243.72, 7,873.42 and 4,543.08 is: 6,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.72 : 7,873.42 = 4,543.08 : x
  2. Step 2: Convert to fraction form
    5,243.72/7,873.42 = 4,543.08/x
  3. Step 3: Cross multiply
    5,243.72x = 7,873.42 × 4,543.08
  4. Step 4: Simplify right side
    5,243.72x = 35,769,576.93
  5. Step 5: Solve for x
    x = 35,769,576.93/5,243.72
  6. Step 6: Final answer
    x = 6,821.41

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1.5x scale

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.