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Finding the Fourth Proportional to 5,896.05, 8,127.10 and 4,475.10

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Solution

The fourth proportional to 5,896.05, 8,127.10 and 4,475.10 is: 6,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.05 : 8,127.10 = 4,475.10 : x
  2. Step 2: Convert to fraction form
    5,896.05/8,127.10 = 4,475.10/x
  3. Step 3: Cross multiply
    5,896.05x = 8,127.10 × 4,475.10
  4. Step 4: Simplify right side
    5,896.05x = 36,369,585.21
  5. Step 5: Solve for x
    x = 36,369,585.21/5,896.05
  6. Step 6: Final answer
    x = 6,168.47

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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.