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Finding the Fourth Proportional to 6,533, 9,015.54 and 3,589

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Solution

The fourth proportional to 6,533, 9,015.54 and 3,589 is: 4,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533 : 9,015.54 = 3,589 : x
  2. Step 2: Convert to fraction form
    6,533/9,015.54 = 3,589/x
  3. Step 3: Cross multiply
    6,533x = 9,015.54 × 3,589
  4. Step 4: Simplify right side
    6,533x = 32,356,773.06
  5. Step 5: Solve for x
    x = 32,356,773.06/6,533
  6. Step 6: Final answer
    x = 4,952.82

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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.