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Finding the Fourth Proportional to 5,682.16, 8,524.32 and 1,785.52

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Solution

The fourth proportional to 5,682.16, 8,524.32 and 1,785.52 is: 2,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.16 : 8,524.32 = 1,785.52 : x
  2. Step 2: Convert to fraction form
    5,682.16/8,524.32 = 1,785.52/x
  3. Step 3: Cross multiply
    5,682.16x = 8,524.32 × 1,785.52
  4. Step 4: Simplify right side
    5,682.16x = 15,220,343.85
  5. Step 5: Solve for x
    x = 15,220,343.85/5,682.16
  6. Step 6: Final answer
    x = 2,678.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.