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Finding the Fourth Proportional to 5,929.41, 8,894.63 and 2,419.68

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Solution

The fourth proportional to 5,929.41, 8,894.63 and 2,419.68 is: 3,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.41 : 8,894.63 = 2,419.68 : x
  2. Step 2: Convert to fraction form
    5,929.41/8,894.63 = 2,419.68/x
  3. Step 3: Cross multiply
    5,929.41x = 8,894.63 × 2,419.68
  4. Step 4: Simplify right side
    5,929.41x = 21,522,158.32
  5. Step 5: Solve for x
    x = 21,522,158.32/5,929.41
  6. Step 6: Final answer
    x = 3,629.73

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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.