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Finding the Fourth Proportional to 3,928.90, 5,894.62 and 1,464.07

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Solution

The fourth proportional to 3,928.90, 5,894.62 and 1,464.07 is: 2,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.90 : 5,894.62 = 1,464.07 : x
  2. Step 2: Convert to fraction form
    3,928.90/5,894.62 = 1,464.07/x
  3. Step 3: Cross multiply
    3,928.90x = 5,894.62 × 1,464.07
  4. Step 4: Simplify right side
    3,928.90x = 8,630,128.98
  5. Step 5: Solve for x
    x = 8,630,128.98/3,928.90
  6. Step 6: Final answer
    x = 2,196.58

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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.