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Finding the Fourth Proportional to 5,414.81, 7,475.83 and 4,153.46

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Solution

The fourth proportional to 5,414.81, 7,475.83 and 4,153.46 is: 5,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.81 : 7,475.83 = 4,153.46 : x
  2. Step 2: Convert to fraction form
    5,414.81/7,475.83 = 4,153.46/x
  3. Step 3: Cross multiply
    5,414.81x = 7,475.83 × 4,153.46
  4. Step 4: Simplify right side
    5,414.81x = 31,050,513.11
  5. Step 5: Solve for x
    x = 31,050,513.11/5,414.81
  6. Step 6: Final answer
    x = 5,734.37

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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.