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Finding the Fourth Proportional to 5,821.56, 8,035.47 and 3,465.27

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Solution

The fourth proportional to 5,821.56, 8,035.47 and 3,465.27 is: 4,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.56 : 8,035.47 = 3,465.27 : x
  2. Step 2: Convert to fraction form
    5,821.56/8,035.47 = 3,465.27/x
  3. Step 3: Cross multiply
    5,821.56x = 8,035.47 × 3,465.27
  4. Step 4: Simplify right side
    5,821.56x = 27,845,073.13
  5. Step 5: Solve for x
    x = 27,845,073.13/5,821.56
  6. Step 6: Final answer
    x = 4,783.09

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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.