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Finding the Fourth Proportional to 6,321.60, 8,721.01 and 3,802.25

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Solution

The fourth proportional to 6,321.60, 8,721.01 and 3,802.25 is: 5,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.60 : 8,721.01 = 3,802.25 : x
  2. Step 2: Convert to fraction form
    6,321.60/8,721.01 = 3,802.25/x
  3. Step 3: Cross multiply
    6,321.60x = 8,721.01 × 3,802.25
  4. Step 4: Simplify right side
    6,321.60x = 33,159,460.27
  5. Step 5: Solve for x
    x = 33,159,460.27/6,321.60
  6. Step 6: Final answer
    x = 5,245.42

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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.