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Finding the Fourth Proportional to 4,703.62, 6,492.18 and 3,212.14

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Solution

The fourth proportional to 4,703.62, 6,492.18 and 3,212.14 is: 4,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.62 : 6,492.18 = 3,212.14 : x
  2. Step 2: Convert to fraction form
    4,703.62/6,492.18 = 3,212.14/x
  3. Step 3: Cross multiply
    4,703.62x = 6,492.18 × 3,212.14
  4. Step 4: Simplify right side
    4,703.62x = 20,853,791.07
  5. Step 5: Solve for x
    x = 20,853,791.07/4,703.62
  6. Step 6: Final answer
    x = 4,433.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.