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Finding the Fourth Proportional to 5,099.66, 7,644.93 and 2,465.69

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Solution

The fourth proportional to 5,099.66, 7,644.93 and 2,465.69 is: 3,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.66 : 7,644.93 = 2,465.69 : x
  2. Step 2: Convert to fraction form
    5,099.66/7,644.93 = 2,465.69/x
  3. Step 3: Cross multiply
    5,099.66x = 7,644.93 × 2,465.69
  4. Step 4: Simplify right side
    5,099.66x = 18,850,036.85
  5. Step 5: Solve for x
    x = 18,850,036.85/5,099.66
  6. Step 6: Final answer
    x = 3,696.33

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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.