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Finding the Fourth Proportional to 5,300.20, 7,317.84 and 4,738.88

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Solution

The fourth proportional to 5,300.20, 7,317.84 and 4,738.88 is: 6,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.20 : 7,317.84 = 4,738.88 : x
  2. Step 2: Convert to fraction form
    5,300.20/7,317.84 = 4,738.88/x
  3. Step 3: Cross multiply
    5,300.20x = 7,317.84 × 4,738.88
  4. Step 4: Simplify right side
    5,300.20x = 34,678,365.62
  5. Step 5: Solve for x
    x = 34,678,365.62/5,300.20
  6. Step 6: Final answer
    x = 6,542.84

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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.