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Finding the Fourth Proportional to 5,427.90, 8,142.90 and 2,307.90

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Solution

The fourth proportional to 5,427.90, 8,142.90 and 2,307.90 is: 3,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.90 : 8,142.90 = 2,307.90 : x
  2. Step 2: Convert to fraction form
    5,427.90/8,142.90 = 2,307.90/x
  3. Step 3: Cross multiply
    5,427.90x = 8,142.90 × 2,307.90
  4. Step 4: Simplify right side
    5,427.90x = 18,792,998.91
  5. Step 5: Solve for x
    x = 18,792,998.91/5,427.90
  6. Step 6: Final answer
    x = 3,462.30

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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.