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Finding the Fourth Proportional to 4,206.96, 5,805.52 and 2,438.52

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Solution

The fourth proportional to 4,206.96, 5,805.52 and 2,438.52 is: 3,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.96 : 5,805.52 = 2,438.52 : x
  2. Step 2: Convert to fraction form
    4,206.96/5,805.52 = 2,438.52/x
  3. Step 3: Cross multiply
    4,206.96x = 5,805.52 × 2,438.52
  4. Step 4: Simplify right side
    4,206.96x = 14,156,876.63
  5. Step 5: Solve for x
    x = 14,156,876.63/4,206.96
  6. Step 6: Final answer
    x = 3,365.11

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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.