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Finding the Fourth Proportional to 4,151.40, 5,725.02 and 3,205.68

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Solution

The fourth proportional to 4,151.40, 5,725.02 and 3,205.68 is: 4,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.40 : 5,725.02 = 3,205.68 : x
  2. Step 2: Convert to fraction form
    4,151.40/5,725.02 = 3,205.68/x
  3. Step 3: Cross multiply
    4,151.40x = 5,725.02 × 3,205.68
  4. Step 4: Simplify right side
    4,151.40x = 18,352,582.11
  5. Step 5: Solve for x
    x = 18,352,582.11/4,151.40
  6. Step 6: Final answer
    x = 4,420.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.