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Finding the Fourth Proportional to 5,762.48, 7,951.19 and 3,742.07

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Solution

The fourth proportional to 5,762.48, 7,951.19 and 3,742.07 is: 5,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.48 : 7,951.19 = 3,742.07 : x
  2. Step 2: Convert to fraction form
    5,762.48/7,951.19 = 3,742.07/x
  3. Step 3: Cross multiply
    5,762.48x = 7,951.19 × 3,742.07
  4. Step 4: Simplify right side
    5,762.48x = 29,753,851.10
  5. Step 5: Solve for x
    x = 29,753,851.10/5,762.48
  6. Step 6: Final answer
    x = 5,163.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.