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Finding the Fourth Proportional to 4,899.92, 7,350.48 and 1,613.36

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Solution

The fourth proportional to 4,899.92, 7,350.48 and 1,613.36 is: 2,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.92 : 7,350.48 = 1,613.36 : x
  2. Step 2: Convert to fraction form
    4,899.92/7,350.48 = 1,613.36/x
  3. Step 3: Cross multiply
    4,899.92x = 7,350.48 × 1,613.36
  4. Step 4: Simplify right side
    4,899.92x = 11,858,970.41
  5. Step 5: Solve for x
    x = 11,858,970.41/4,899.92
  6. Step 6: Final answer
    x = 2,420.24

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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.