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Finding the Fourth Proportional to 4,321.75, 6,483.09 and 1,201.76

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Solution

The fourth proportional to 4,321.75, 6,483.09 and 1,201.76 is: 1,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.75 : 6,483.09 = 1,201.76 : x
  2. Step 2: Convert to fraction form
    4,321.75/6,483.09 = 1,201.76/x
  3. Step 3: Cross multiply
    4,321.75x = 6,483.09 × 1,201.76
  4. Step 4: Simplify right side
    4,321.75x = 7,791,140.97
  5. Step 5: Solve for x
    x = 7,791,140.97/4,321.75
  6. Step 6: Final answer
    x = 1,802.77

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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.