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Finding the Fourth Proportional to 3,653.82, 5,038.25 and 2,472.84

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Solution

The fourth proportional to 3,653.82, 5,038.25 and 2,472.84 is: 3,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.82 : 5,038.25 = 2,472.84 : x
  2. Step 2: Convert to fraction form
    3,653.82/5,038.25 = 2,472.84/x
  3. Step 3: Cross multiply
    3,653.82x = 5,038.25 × 2,472.84
  4. Step 4: Simplify right side
    3,653.82x = 12,458,773.77
  5. Step 5: Solve for x
    x = 12,458,773.77/3,653.82
  6. Step 6: Final answer
    x = 3,409.79

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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.