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Finding the Fourth Proportional to 4,151.54, 5,730.33 and 2,663.43

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Solution

The fourth proportional to 4,151.54, 5,730.33 and 2,663.43 is: 3,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.54 : 5,730.33 = 2,663.43 : x
  2. Step 2: Convert to fraction form
    4,151.54/5,730.33 = 2,663.43/x
  3. Step 3: Cross multiply
    4,151.54x = 5,730.33 × 2,663.43
  4. Step 4: Simplify right side
    4,151.54x = 15,262,332.83
  5. Step 5: Solve for x
    x = 15,262,332.83/4,151.54
  6. Step 6: Final answer
    x = 3,676.31

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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.