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Finding the Fourth Proportional to 5,319, 7,340.22 and 3,225.96

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Solution

The fourth proportional to 5,319, 7,340.22 and 3,225.96 is: 4,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319 : 7,340.22 = 3,225.96 : x
  2. Step 2: Convert to fraction form
    5,319/7,340.22 = 3,225.96/x
  3. Step 3: Cross multiply
    5,319x = 7,340.22 × 3,225.96
  4. Step 4: Simplify right side
    5,319x = 23,679,256.11
  5. Step 5: Solve for x
    x = 23,679,256.11/5,319
  6. Step 6: Final answer
    x = 4,451.82

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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.