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Finding the Fourth Proportional to 5,083.32, 7,623.54 and 1,618.68

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Solution

The fourth proportional to 5,083.32, 7,623.54 and 1,618.68 is: 2,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.32 : 7,623.54 = 1,618.68 : x
  2. Step 2: Convert to fraction form
    5,083.32/7,623.54 = 1,618.68/x
  3. Step 3: Cross multiply
    5,083.32x = 7,623.54 × 1,618.68
  4. Step 4: Simplify right side
    5,083.32x = 12,340,071.73
  5. Step 5: Solve for x
    x = 12,340,071.73/5,083.32
  6. Step 6: Final answer
    x = 2,427.56

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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.