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Finding the Fourth Proportional to 5,186.64, 7,784.01 and 2,266.98

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Solution

The fourth proportional to 5,186.64, 7,784.01 and 2,266.98 is: 3,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.64 : 7,784.01 = 2,266.98 : x
  2. Step 2: Convert to fraction form
    5,186.64/7,784.01 = 2,266.98/x
  3. Step 3: Cross multiply
    5,186.64x = 7,784.01 × 2,266.98
  4. Step 4: Simplify right side
    5,186.64x = 17,646,194.99
  5. Step 5: Solve for x
    x = 17,646,194.99/5,186.64
  6. Step 6: Final answer
    x = 3,402.24

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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.