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Finding the Fourth Proportional to 4,552.71, 6,814.76 and 3,138.87

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Solution

The fourth proportional to 4,552.71, 6,814.76 and 3,138.87 is: 4,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.71 : 6,814.76 = 3,138.87 : x
  2. Step 2: Convert to fraction form
    4,552.71/6,814.76 = 3,138.87/x
  3. Step 3: Cross multiply
    4,552.71x = 6,814.76 × 3,138.87
  4. Step 4: Simplify right side
    4,552.71x = 21,390,630.03
  5. Step 5: Solve for x
    x = 21,390,630.03/4,552.71
  6. Step 6: Final answer
    x = 4,698.44

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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.