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Finding the Fourth Proportional to 5,395.94, 8,094.68 and 2,274

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Solution

The fourth proportional to 5,395.94, 8,094.68 and 2,274 is: 3,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.94 : 8,094.68 = 2,274 : x
  2. Step 2: Convert to fraction form
    5,395.94/8,094.68 = 2,274/x
  3. Step 3: Cross multiply
    5,395.94x = 8,094.68 × 2,274
  4. Step 4: Simplify right side
    5,395.94x = 18,407,302.32
  5. Step 5: Solve for x
    x = 18,407,302.32/5,395.94
  6. Step 6: Final answer
    x = 3,411.32

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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.