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Finding the Fourth Proportional to 5,112.89, 7,669.34 and 1,650.14

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Solution

The fourth proportional to 5,112.89, 7,669.34 and 1,650.14 is: 2,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.89 : 7,669.34 = 1,650.14 : x
  2. Step 2: Convert to fraction form
    5,112.89/7,669.34 = 1,650.14/x
  3. Step 3: Cross multiply
    5,112.89x = 7,669.34 × 1,650.14
  4. Step 4: Simplify right side
    5,112.89x = 12,655,484.71
  5. Step 5: Solve for x
    x = 12,655,484.71/5,112.89
  6. Step 6: Final answer
    x = 2,475.21

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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.