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Finding the Fourth Proportional to 4,188.96, 6,270.48 and 2,802.24

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Solution

The fourth proportional to 4,188.96, 6,270.48 and 2,802.24 is: 4,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.96 : 6,270.48 = 2,802.24 : x
  2. Step 2: Convert to fraction form
    4,188.96/6,270.48 = 2,802.24/x
  3. Step 3: Cross multiply
    4,188.96x = 6,270.48 × 2,802.24
  4. Step 4: Simplify right side
    4,188.96x = 17,571,389.88
  5. Step 5: Solve for x
    x = 17,571,389.88/4,188.96
  6. Step 6: Final answer
    x = 4,194.69

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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.