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Finding the Fourth Proportional to 3,495.53, 4,823.74 and 1,983.37

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Solution

The fourth proportional to 3,495.53, 4,823.74 and 1,983.37 is: 2,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.53 : 4,823.74 = 1,983.37 : x
  2. Step 2: Convert to fraction form
    3,495.53/4,823.74 = 1,983.37/x
  3. Step 3: Cross multiply
    3,495.53x = 4,823.74 × 1,983.37
  4. Step 4: Simplify right side
    3,495.53x = 9,567,227.17
  5. Step 5: Solve for x
    x = 9,567,227.17/3,495.53
  6. Step 6: Final answer
    x = 2,736.99

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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.