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Finding the Fourth Proportional to 5,696.11, 8,532.82 and 3,742.39

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Solution

The fourth proportional to 5,696.11, 8,532.82 and 3,742.39 is: 5,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.11 : 8,532.82 = 3,742.39 : x
  2. Step 2: Convert to fraction form
    5,696.11/8,532.82 = 3,742.39/x
  3. Step 3: Cross multiply
    5,696.11x = 8,532.82 × 3,742.39
  4. Step 4: Simplify right side
    5,696.11x = 31,933,140.24
  5. Step 5: Solve for x
    x = 31,933,140.24/5,696.11
  6. Step 6: Final answer
    x = 5,606.13

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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.