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Finding the Fourth Proportional to 5,847.36, 8,761.12 and 3,534

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Solution

The fourth proportional to 5,847.36, 8,761.12 and 3,534 is: 5,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.36 : 8,761.12 = 3,534 : x
  2. Step 2: Convert to fraction form
    5,847.36/8,761.12 = 3,534/x
  3. Step 3: Cross multiply
    5,847.36x = 8,761.12 × 3,534
  4. Step 4: Simplify right side
    5,847.36x = 30,961,798.08
  5. Step 5: Solve for x
    x = 30,961,798.08/5,847.36
  6. Step 6: Final answer
    x = 5,295.00

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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.