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Finding the Fourth Proportional to 5,083.64, 7,627.92 and 2,775.08

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Solution

The fourth proportional to 5,083.64, 7,627.92 and 2,775.08 is: 4,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.64 : 7,627.92 = 2,775.08 : x
  2. Step 2: Convert to fraction form
    5,083.64/7,627.92 = 2,775.08/x
  3. Step 3: Cross multiply
    5,083.64x = 7,627.92 × 2,775.08
  4. Step 4: Simplify right side
    5,083.64x = 21,168,088.23
  5. Step 5: Solve for x
    x = 21,168,088.23/5,083.64
  6. Step 6: Final answer
    x = 4,163.96

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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.