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Finding the Fourth Proportional to 4,151.74, 5,730.06 and 3,208.90

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Solution

The fourth proportional to 4,151.74, 5,730.06 and 3,208.90 is: 4,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.74 : 5,730.06 = 3,208.90 : x
  2. Step 2: Convert to fraction form
    4,151.74/5,730.06 = 3,208.90/x
  3. Step 3: Cross multiply
    4,151.74x = 5,730.06 × 3,208.90
  4. Step 4: Simplify right side
    4,151.74x = 18,387,189.53
  5. Step 5: Solve for x
    x = 18,387,189.53/4,151.74
  6. Step 6: Final answer
    x = 4,428.79

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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.