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Finding the Fourth Proportional to 5,696.54, 8,534.54 and 5,353.44

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Solution

The fourth proportional to 5,696.54, 8,534.54 and 5,353.44 is: 8,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.54 : 8,534.54 = 5,353.44 : x
  2. Step 2: Convert to fraction form
    5,696.54/8,534.54 = 5,353.44/x
  3. Step 3: Cross multiply
    5,696.54x = 8,534.54 × 5,353.44
  4. Step 4: Simplify right side
    5,696.54x = 45,689,147.82
  5. Step 5: Solve for x
    x = 45,689,147.82/5,696.54
  6. Step 6: Final answer
    x = 8,020.51

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1.5x scale

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.