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Finding the Fourth Proportional to 5,964.76, 8,228.52 and 4,197.34

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Solution

The fourth proportional to 5,964.76, 8,228.52 and 4,197.34 is: 5,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.76 : 8,228.52 = 4,197.34 : x
  2. Step 2: Convert to fraction form
    5,964.76/8,228.52 = 4,197.34/x
  3. Step 3: Cross multiply
    5,964.76x = 8,228.52 × 4,197.34
  4. Step 4: Simplify right side
    5,964.76x = 34,537,896.14
  5. Step 5: Solve for x
    x = 34,537,896.14/5,964.76
  6. Step 6: Final answer
    x = 5,790.32

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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.