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Finding the Fourth Proportional to 5,814.56, 8,725.76 and 3,219.52

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Solution

The fourth proportional to 5,814.56, 8,725.76 and 3,219.52 is: 4,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.56 : 8,725.76 = 3,219.52 : x
  2. Step 2: Convert to fraction form
    5,814.56/8,725.76 = 3,219.52/x
  3. Step 3: Cross multiply
    5,814.56x = 8,725.76 × 3,219.52
  4. Step 4: Simplify right side
    5,814.56x = 28,092,758.84
  5. Step 5: Solve for x
    x = 28,092,758.84/5,814.56
  6. Step 6: Final answer
    x = 4,831.45

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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.