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Finding the Fourth Proportional to 4,906.15, 7,358.18 and 1,618.47

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Solution

The fourth proportional to 4,906.15, 7,358.18 and 1,618.47 is: 2,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.15 : 7,358.18 = 1,618.47 : x
  2. Step 2: Convert to fraction form
    4,906.15/7,358.18 = 1,618.47/x
  3. Step 3: Cross multiply
    4,906.15x = 7,358.18 × 1,618.47
  4. Step 4: Simplify right side
    4,906.15x = 11,908,997.63
  5. Step 5: Solve for x
    x = 11,908,997.63/4,906.15
  6. Step 6: Final answer
    x = 2,427.36

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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.