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Finding the Fourth Proportional to 5,319, 7,342.04 and 3,223.13

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Solution

The fourth proportional to 5,319, 7,342.04 and 3,223.13 is: 4,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319 : 7,342.04 = 3,223.13 : x
  2. Step 2: Convert to fraction form
    5,319/7,342.04 = 3,223.13/x
  3. Step 3: Cross multiply
    5,319x = 7,342.04 × 3,223.13
  4. Step 4: Simplify right side
    5,319x = 23,664,320.73
  5. Step 5: Solve for x
    x = 23,664,320.73/5,319
  6. Step 6: Final answer
    x = 4,449.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.