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Finding the Fourth Proportional to 5,112.81, 7,670.03 and 1,649.25

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Solution

The fourth proportional to 5,112.81, 7,670.03 and 1,649.25 is: 2,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.81 : 7,670.03 = 1,649.25 : x
  2. Step 2: Convert to fraction form
    5,112.81/7,670.03 = 1,649.25/x
  3. Step 3: Cross multiply
    5,112.81x = 7,670.03 × 1,649.25
  4. Step 4: Simplify right side
    5,112.81x = 12,649,788.73
  5. Step 5: Solve for x
    x = 12,649,788.73/5,112.81
  6. Step 6: Final answer
    x = 2,474.14

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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.