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Finding the Fourth Proportional to 5,357.24, 8,034.24 and 1,461.14

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Solution

The fourth proportional to 5,357.24, 8,034.24 and 1,461.14 is: 2,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.24 : 8,034.24 = 1,461.14 : x
  2. Step 2: Convert to fraction form
    5,357.24/8,034.24 = 1,461.14/x
  3. Step 3: Cross multiply
    5,357.24x = 8,034.24 × 1,461.14
  4. Step 4: Simplify right side
    5,357.24x = 11,739,149.43
  5. Step 5: Solve for x
    x = 11,739,149.43/5,357.24
  6. Step 6: Final answer
    x = 2,191.27

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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.