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Finding the Fourth Proportional to 5,428.98, 8,141.04 and 2,307.24

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Solution

The fourth proportional to 5,428.98, 8,141.04 and 2,307.24 is: 3,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.98 : 8,141.04 = 2,307.24 : x
  2. Step 2: Convert to fraction form
    5,428.98/8,141.04 = 2,307.24/x
  3. Step 3: Cross multiply
    5,428.98x = 8,141.04 × 2,307.24
  4. Step 4: Simplify right side
    5,428.98x = 18,783,333.13
  5. Step 5: Solve for x
    x = 18,783,333.13/5,428.98
  6. Step 6: Final answer
    x = 3,459.83

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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.