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Finding the Fourth Proportional to 5,454.78, 8,112.70 and 5,396.46

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Solution

The fourth proportional to 5,454.78, 8,112.70 and 5,396.46 is: 8,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.78 : 8,112.70 = 5,396.46 : x
  2. Step 2: Convert to fraction form
    5,454.78/8,112.70 = 5,396.46/x
  3. Step 3: Cross multiply
    5,454.78x = 8,112.70 × 5,396.46
  4. Step 4: Simplify right side
    5,454.78x = 43,779,861.04
  5. Step 5: Solve for x
    x = 43,779,861.04/5,454.78
  6. Step 6: Final answer
    x = 8,025.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.