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Finding the Fourth Proportional to 5,695.67, 8,525.70 and 3,618.02

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Solution

The fourth proportional to 5,695.67, 8,525.70 and 3,618.02 is: 5,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.67 : 8,525.70 = 3,618.02 : x
  2. Step 2: Convert to fraction form
    5,695.67/8,525.70 = 3,618.02/x
  3. Step 3: Cross multiply
    5,695.67x = 8,525.70 × 3,618.02
  4. Step 4: Simplify right side
    5,695.67x = 30,846,110.49
  5. Step 5: Solve for x
    x = 30,846,110.49/5,695.67
  6. Step 6: Final answer
    x = 5,415.72

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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.