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Finding the Fourth Proportional to 4,199.31, 5,792.08 and 3,565.48

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Solution

The fourth proportional to 4,199.31, 5,792.08 and 3,565.48 is: 4,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.31 : 5,792.08 = 3,565.48 : x
  2. Step 2: Convert to fraction form
    4,199.31/5,792.08 = 3,565.48/x
  3. Step 3: Cross multiply
    4,199.31x = 5,792.08 × 3,565.48
  4. Step 4: Simplify right side
    4,199.31x = 20,651,545.40
  5. Step 5: Solve for x
    x = 20,651,545.40/4,199.31
  6. Step 6: Final answer
    x = 4,917.84

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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.