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Finding the Fourth Proportional to 5,964.85, 8,232.25 and 3,607.00

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Solution

The fourth proportional to 5,964.85, 8,232.25 and 3,607.00 is: 4,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.85 : 8,232.25 = 3,607.00 : x
  2. Step 2: Convert to fraction form
    5,964.85/8,232.25 = 3,607.00/x
  3. Step 3: Cross multiply
    5,964.85x = 8,232.25 × 3,607.00
  4. Step 4: Simplify right side
    5,964.85x = 29,693,728.30
  5. Step 5: Solve for x
    x = 29,693,728.30/5,964.85
  6. Step 6: Final answer
    x = 4,978.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.