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Finding the Fourth Proportional to 5,760, 8,625.40 and 3,562.06

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Solution

The fourth proportional to 5,760, 8,625.40 and 3,562.06 is: 5,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 8,625.40 = 3,562.06 : x
  2. Step 2: Convert to fraction form
    5,760/8,625.40 = 3,562.06/x
  3. Step 3: Cross multiply
    5,760x = 8,625.40 × 3,562.06
  4. Step 4: Simplify right side
    5,760x = 30,724,192.32
  5. Step 5: Solve for x
    x = 30,724,192.32/5,760
  6. Step 6: Final answer
    x = 5,334.06

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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.