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Finding the Fourth Proportional to 5,742.61, 8,611.69 and 2,232.16

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Solution

The fourth proportional to 5,742.61, 8,611.69 and 2,232.16 is: 3,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.61 : 8,611.69 = 2,232.16 : x
  2. Step 2: Convert to fraction form
    5,742.61/8,611.69 = 2,232.16/x
  3. Step 3: Cross multiply
    5,742.61x = 8,611.69 × 2,232.16
  4. Step 4: Simplify right side
    5,742.61x = 19,222,626.89
  5. Step 5: Solve for x
    x = 19,222,626.89/5,742.61
  6. Step 6: Final answer
    x = 3,347.37

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Why These Related Problems?

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