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Finding the Fourth Proportional to 3,214.64, 4,821 and 1,134.25

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Solution

The fourth proportional to 3,214.64, 4,821 and 1,134.25 is: 1,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.64 : 4,821 = 1,134.25 : x
  2. Step 2: Convert to fraction form
    3,214.64/4,821 = 1,134.25/x
  3. Step 3: Cross multiply
    3,214.64x = 4,821 × 1,134.25
  4. Step 4: Simplify right side
    3,214.64x = 5,468,219.25
  5. Step 5: Solve for x
    x = 5,468,219.25/3,214.64
  6. Step 6: Final answer
    x = 1,701.04

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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.