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Finding the Fourth Proportional to 5,086.73, 7,630.40 and 1,577.07

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Solution

The fourth proportional to 5,086.73, 7,630.40 and 1,577.07 is: 2,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.73 : 7,630.40 = 1,577.07 : x
  2. Step 2: Convert to fraction form
    5,086.73/7,630.40 = 1,577.07/x
  3. Step 3: Cross multiply
    5,086.73x = 7,630.40 × 1,577.07
  4. Step 4: Simplify right side
    5,086.73x = 12,033,678.87
  5. Step 5: Solve for x
    x = 12,033,678.87/5,086.73
  6. Step 6: Final answer
    x = 2,365.70

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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.