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Finding the Fourth Proportional to 5,415.30, 8,114.15 and 4,896.90

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Solution

The fourth proportional to 5,415.30, 8,114.15 and 4,896.90 is: 7,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.30 : 8,114.15 = 4,896.90 : x
  2. Step 2: Convert to fraction form
    5,415.30/8,114.15 = 4,896.90/x
  3. Step 3: Cross multiply
    5,415.30x = 8,114.15 × 4,896.90
  4. Step 4: Simplify right side
    5,415.30x = 39,734,181.14
  5. Step 5: Solve for x
    x = 39,734,181.14/5,415.30
  6. Step 6: Final answer
    x = 7,337.39

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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.