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Finding the Fourth Proportional to 6,341.44, 8,749.92 and 3,688.48

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Solution

The fourth proportional to 6,341.44, 8,749.92 and 3,688.48 is: 5,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.44 : 8,749.92 = 3,688.48 : x
  2. Step 2: Convert to fraction form
    6,341.44/8,749.92 = 3,688.48/x
  3. Step 3: Cross multiply
    6,341.44x = 8,749.92 × 3,688.48
  4. Step 4: Simplify right side
    6,341.44x = 32,273,904.92
  5. Step 5: Solve for x
    x = 32,273,904.92/6,341.44
  6. Step 6: Final answer
    x = 5,089.37

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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.