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Finding the Fourth Proportional to 5,199.30, 7,802.91 and 4,171.68

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Solution

The fourth proportional to 5,199.30, 7,802.91 and 4,171.68 is: 6,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.30 : 7,802.91 = 4,171.68 : x
  2. Step 2: Convert to fraction form
    5,199.30/7,802.91 = 4,171.68/x
  3. Step 3: Cross multiply
    5,199.30x = 7,802.91 × 4,171.68
  4. Step 4: Simplify right side
    5,199.30x = 32,551,243.59
  5. Step 5: Solve for x
    x = 32,551,243.59/5,199.30
  6. Step 6: Final answer
    x = 6,260.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.