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Finding the Fourth Proportional to 4,492.57, 6,193.31 and 3,162.14

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Solution

The fourth proportional to 4,492.57, 6,193.31 and 3,162.14 is: 4,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.57 : 6,193.31 = 3,162.14 : x
  2. Step 2: Convert to fraction form
    4,492.57/6,193.31 = 3,162.14/x
  3. Step 3: Cross multiply
    4,492.57x = 6,193.31 × 3,162.14
  4. Step 4: Simplify right side
    4,492.57x = 19,584,113.28
  5. Step 5: Solve for x
    x = 19,584,113.28/4,492.57
  6. Step 6: Final answer
    x = 4,359.22

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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.