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Finding the Fourth Proportional to 5,581.29, 7,682.85 and 4,824.72

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Solution

The fourth proportional to 5,581.29, 7,682.85 and 4,824.72 is: 6,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.29 : 7,682.85 = 4,824.72 : x
  2. Step 2: Convert to fraction form
    5,581.29/7,682.85 = 4,824.72/x
  3. Step 3: Cross multiply
    5,581.29x = 7,682.85 × 4,824.72
  4. Step 4: Simplify right side
    5,581.29x = 37,067,600.05
  5. Step 5: Solve for x
    x = 37,067,600.05/5,581.29
  6. Step 6: Final answer
    x = 6,641.40

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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.