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Finding the Fourth Proportional to 3,564.42, 5,347.17 and 1,589.82

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Solution

The fourth proportional to 3,564.42, 5,347.17 and 1,589.82 is: 2,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.42 : 5,347.17 = 1,589.82 : x
  2. Step 2: Convert to fraction form
    3,564.42/5,347.17 = 1,589.82/x
  3. Step 3: Cross multiply
    3,564.42x = 5,347.17 × 1,589.82
  4. Step 4: Simplify right side
    3,564.42x = 8,501,037.81
  5. Step 5: Solve for x
    x = 8,501,037.81/3,564.42
  6. Step 6: Final answer
    x = 2,384.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.