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Finding the Fourth Proportional to 5,567.87, 7,688.81 and 3,581.87

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Solution

The fourth proportional to 5,567.87, 7,688.81 and 3,581.87 is: 4,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.87 : 7,688.81 = 3,581.87 : x
  2. Step 2: Convert to fraction form
    5,567.87/7,688.81 = 3,581.87/x
  3. Step 3: Cross multiply
    5,567.87x = 7,688.81 × 3,581.87
  4. Step 4: Simplify right side
    5,567.87x = 27,540,288.39
  5. Step 5: Solve for x
    x = 27,540,288.39/5,567.87
  6. Step 6: Final answer
    x = 4,946.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.