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Finding the Fourth Proportional to 5,099.76, 7,649.67 and 1,402.38

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Solution

The fourth proportional to 5,099.76, 7,649.67 and 1,402.38 is: 2,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.76 : 7,649.67 = 1,402.38 : x
  2. Step 2: Convert to fraction form
    5,099.76/7,649.67 = 1,402.38/x
  3. Step 3: Cross multiply
    5,099.76x = 7,649.67 × 1,402.38
  4. Step 4: Simplify right side
    5,099.76x = 10,727,749.47
  5. Step 5: Solve for x
    x = 10,727,749.47/5,099.76
  6. Step 6: Final answer
    x = 2,103.58

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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.