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Finding the Fourth Proportional to 4,457.97, 6,684.46 and 3,053.98

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Solution

The fourth proportional to 4,457.97, 6,684.46 and 3,053.98 is: 4,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.97 : 6,684.46 = 3,053.98 : x
  2. Step 2: Convert to fraction form
    4,457.97/6,684.46 = 3,053.98/x
  3. Step 3: Cross multiply
    4,457.97x = 6,684.46 × 3,053.98
  4. Step 4: Simplify right side
    4,457.97x = 20,414,182.80
  5. Step 5: Solve for x
    x = 20,414,182.80/4,457.97
  6. Step 6: Final answer
    x = 4,579.26

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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.