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Finding the Fourth Proportional to 3,773.61, 5,653.05 and 2,471.13

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Solution

The fourth proportional to 3,773.61, 5,653.05 and 2,471.13 is: 3,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.61 : 5,653.05 = 2,471.13 : x
  2. Step 2: Convert to fraction form
    3,773.61/5,653.05 = 2,471.13/x
  3. Step 3: Cross multiply
    3,773.61x = 5,653.05 × 2,471.13
  4. Step 4: Simplify right side
    3,773.61x = 13,969,409.09
  5. Step 5: Solve for x
    x = 13,969,409.09/3,773.61
  6. Step 6: Final answer
    x = 3,701.87

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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.