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Finding the Fourth Proportional to 5,193.29, 7,790.02 and 4,941.18

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Solution

The fourth proportional to 5,193.29, 7,790.02 and 4,941.18 is: 7,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.29 : 7,790.02 = 4,941.18 : x
  2. Step 2: Convert to fraction form
    5,193.29/7,790.02 = 4,941.18/x
  3. Step 3: Cross multiply
    5,193.29x = 7,790.02 × 4,941.18
  4. Step 4: Simplify right side
    5,193.29x = 38,491,891.02
  5. Step 5: Solve for x
    x = 38,491,891.02/5,193.29
  6. Step 6: Final answer
    x = 7,411.85

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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.