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Finding the Fourth Proportional to 3,495.82, 5,216.47 and 3,185.32

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Solution

The fourth proportional to 3,495.82, 5,216.47 and 3,185.32 is: 4,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.82 : 5,216.47 = 3,185.32 : x
  2. Step 2: Convert to fraction form
    3,495.82/5,216.47 = 3,185.32/x
  3. Step 3: Cross multiply
    3,495.82x = 5,216.47 × 3,185.32
  4. Step 4: Simplify right side
    3,495.82x = 16,616,126.22
  5. Step 5: Solve for x
    x = 16,616,126.22/3,495.82
  6. Step 6: Final answer
    x = 4,753.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.