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Finding the Fourth Proportional to 4,457.92, 6,649.18 and 4,200.96

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Solution

The fourth proportional to 4,457.92, 6,649.18 and 4,200.96 is: 6,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.92 : 6,649.18 = 4,200.96 : x
  2. Step 2: Convert to fraction form
    4,457.92/6,649.18 = 4,200.96/x
  3. Step 3: Cross multiply
    4,457.92x = 6,649.18 × 4,200.96
  4. Step 4: Simplify right side
    4,457.92x = 27,932,939.21
  5. Step 5: Solve for x
    x = 27,932,939.21/4,457.92
  6. Step 6: Final answer
    x = 6,265.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.