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Finding the Fourth Proportional to 5,670.24, 8,502 and 2,203.44

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Solution

The fourth proportional to 5,670.24, 8,502 and 2,203.44 is: 3,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.24 : 8,502 = 2,203.44 : x
  2. Step 2: Convert to fraction form
    5,670.24/8,502 = 2,203.44/x
  3. Step 3: Cross multiply
    5,670.24x = 8,502 × 2,203.44
  4. Step 4: Simplify right side
    5,670.24x = 18,733,646.88
  5. Step 5: Solve for x
    x = 18,733,646.88/5,670.24
  6. Step 6: Final answer
    x = 3,303.85

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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.