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Finding the Fourth Proportional to 3,500.16, 4,830.23 and 1,906.82

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Solution

The fourth proportional to 3,500.16, 4,830.23 and 1,906.82 is: 2,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.16 : 4,830.23 = 1,906.82 : x
  2. Step 2: Convert to fraction form
    3,500.16/4,830.23 = 1,906.82/x
  3. Step 3: Cross multiply
    3,500.16x = 4,830.23 × 1,906.82
  4. Step 4: Simplify right side
    3,500.16x = 9,210,345.48
  5. Step 5: Solve for x
    x = 9,210,345.48/3,500.16
  6. Step 6: Final answer
    x = 2,631.41

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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.