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Finding the Fourth Proportional to 4,151.63, 6,233.74 and 3,572.98

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Solution

The fourth proportional to 4,151.63, 6,233.74 and 3,572.98 is: 5,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.63 : 6,233.74 = 3,572.98 : x
  2. Step 2: Convert to fraction form
    4,151.63/6,233.74 = 3,572.98/x
  3. Step 3: Cross multiply
    4,151.63x = 6,233.74 × 3,572.98
  4. Step 4: Simplify right side
    4,151.63x = 22,273,003.83
  5. Step 5: Solve for x
    x = 22,273,003.83/4,151.63
  6. Step 6: Final answer
    x = 5,364.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.