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Finding the Fourth Proportional to 5,611.06, 8,416.54 and 2,148.31

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Solution

The fourth proportional to 5,611.06, 8,416.54 and 2,148.31 is: 3,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.06 : 8,416.54 = 2,148.31 : x
  2. Step 2: Convert to fraction form
    5,611.06/8,416.54 = 2,148.31/x
  3. Step 3: Cross multiply
    5,611.06x = 8,416.54 × 2,148.31
  4. Step 4: Simplify right side
    5,611.06x = 18,081,314.50
  5. Step 5: Solve for x
    x = 18,081,314.50/5,611.06
  6. Step 6: Final answer
    x = 3,222.44

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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.