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Finding the Fourth Proportional to 3,832.74, 5,746.79 and 2,499.53

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Solution

The fourth proportional to 3,832.74, 5,746.79 and 2,499.53 is: 3,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.74 : 5,746.79 = 2,499.53 : x
  2. Step 2: Convert to fraction form
    3,832.74/5,746.79 = 2,499.53/x
  3. Step 3: Cross multiply
    3,832.74x = 5,746.79 × 2,499.53
  4. Step 4: Simplify right side
    3,832.74x = 14,364,232.78
  5. Step 5: Solve for x
    x = 14,364,232.78/3,832.74
  6. Step 6: Final answer
    x = 3,747.77

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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.