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Finding the Fourth Proportional to 3,929.15, 5,894.99 and 1,464.32

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Solution

The fourth proportional to 3,929.15, 5,894.99 and 1,464.32 is: 2,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.15 : 5,894.99 = 1,464.32 : x
  2. Step 2: Convert to fraction form
    3,929.15/5,894.99 = 1,464.32/x
  3. Step 3: Cross multiply
    3,929.15x = 5,894.99 × 1,464.32
  4. Step 4: Simplify right side
    3,929.15x = 8,632,151.76
  5. Step 5: Solve for x
    x = 8,632,151.76/3,929.15
  6. Step 6: Final answer
    x = 2,196.95

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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.