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Finding the Fourth Proportional to 5,896.33, 8,135.85 and 3,507.10

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Solution

The fourth proportional to 5,896.33, 8,135.85 and 3,507.10 is: 4,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.33 : 8,135.85 = 3,507.10 : x
  2. Step 2: Convert to fraction form
    5,896.33/8,135.85 = 3,507.10/x
  3. Step 3: Cross multiply
    5,896.33x = 8,135.85 × 3,507.10
  4. Step 4: Simplify right side
    5,896.33x = 28,533,239.54
  5. Step 5: Solve for x
    x = 28,533,239.54/5,896.33
  6. Step 6: Final answer
    x = 4,839.15

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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.