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Finding the Fourth Proportional to 4,797.48, 6,622.38 and 3,749.88

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Solution

The fourth proportional to 4,797.48, 6,622.38 and 3,749.88 is: 5,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.48 : 6,622.38 = 3,749.88 : x
  2. Step 2: Convert to fraction form
    4,797.48/6,622.38 = 3,749.88/x
  3. Step 3: Cross multiply
    4,797.48x = 6,622.38 × 3,749.88
  4. Step 4: Simplify right side
    4,797.48x = 24,833,130.31
  5. Step 5: Solve for x
    x = 24,833,130.31/4,797.48
  6. Step 6: Final answer
    x = 5,176.29

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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.