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Finding the Fourth Proportional to 5,396, 8,094.44 and 2,276.88

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Solution

The fourth proportional to 5,396, 8,094.44 and 2,276.88 is: 3,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396 : 8,094.44 = 2,276.88 : x
  2. Step 2: Convert to fraction form
    5,396/8,094.44 = 2,276.88/x
  3. Step 3: Cross multiply
    5,396x = 8,094.44 × 2,276.88
  4. Step 4: Simplify right side
    5,396x = 18,430,068.55
  5. Step 5: Solve for x
    x = 18,430,068.55/5,396
  6. Step 6: Final answer
    x = 3,415.51

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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.