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Finding the Fourth Proportional to 5,706.92, 8,483.36 and 5,538.76

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Solution

The fourth proportional to 5,706.92, 8,483.36 and 5,538.76 is: 8,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.92 : 8,483.36 = 5,538.76 : x
  2. Step 2: Convert to fraction form
    5,706.92/8,483.36 = 5,538.76/x
  3. Step 3: Cross multiply
    5,706.92x = 8,483.36 × 5,538.76
  4. Step 4: Simplify right side
    5,706.92x = 46,987,295.03
  5. Step 5: Solve for x
    x = 46,987,295.03/5,706.92
  6. Step 6: Final answer
    x = 8,233.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.