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Finding the Fourth Proportional to 5,405.75, 8,094.02 and 2,803.22

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Solution

The fourth proportional to 5,405.75, 8,094.02 and 2,803.22 is: 4,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.75 : 8,094.02 = 2,803.22 : x
  2. Step 2: Convert to fraction form
    5,405.75/8,094.02 = 2,803.22/x
  3. Step 3: Cross multiply
    5,405.75x = 8,094.02 × 2,803.22
  4. Step 4: Simplify right side
    5,405.75x = 22,689,284.49
  5. Step 5: Solve for x
    x = 22,689,284.49/5,405.75
  6. Step 6: Final answer
    x = 4,197.25

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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.