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Finding the Fourth Proportional to 5,695.76, 7,858.76 and 3,211.60

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Solution

The fourth proportional to 5,695.76, 7,858.76 and 3,211.60 is: 4,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.76 : 7,858.76 = 3,211.60 : x
  2. Step 2: Convert to fraction form
    5,695.76/7,858.76 = 3,211.60/x
  3. Step 3: Cross multiply
    5,695.76x = 7,858.76 × 3,211.60
  4. Step 4: Simplify right side
    5,695.76x = 25,239,193.62
  5. Step 5: Solve for x
    x = 25,239,193.62/5,695.76
  6. Step 6: Final answer
    x = 4,431.22

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1.5x scale

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.