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Finding the Fourth Proportional to 5,274.98, 7,914.36 and 2,466.32

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Solution

The fourth proportional to 5,274.98, 7,914.36 and 2,466.32 is: 3,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.98 : 7,914.36 = 2,466.32 : x
  2. Step 2: Convert to fraction form
    5,274.98/7,914.36 = 2,466.32/x
  3. Step 3: Cross multiply
    5,274.98x = 7,914.36 × 2,466.32
  4. Step 4: Simplify right side
    5,274.98x = 19,519,304.78
  5. Step 5: Solve for x
    x = 19,519,304.78/5,274.98
  6. Step 6: Final answer
    x = 3,700.36

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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.