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Finding the Fourth Proportional to 5,689.71, 8,534.50 and 3,494.48

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Solution

The fourth proportional to 5,689.71, 8,534.50 and 3,494.48 is: 5,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.71 : 8,534.50 = 3,494.48 : x
  2. Step 2: Convert to fraction form
    5,689.71/8,534.50 = 3,494.48/x
  3. Step 3: Cross multiply
    5,689.71x = 8,534.50 × 3,494.48
  4. Step 4: Simplify right side
    5,689.71x = 29,823,588.15
  5. Step 5: Solve for x
    x = 29,823,588.15/5,689.71
  6. Step 6: Final answer
    x = 5,241.67

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Why These Related Problems?

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