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Finding the Fourth Proportional to 5,266.62, 7,899.93 and 2,307.96

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Solution

The fourth proportional to 5,266.62, 7,899.93 and 2,307.96 is: 3,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.62 : 7,899.93 = 2,307.96 : x
  2. Step 2: Convert to fraction form
    5,266.62/7,899.93 = 2,307.96/x
  3. Step 3: Cross multiply
    5,266.62x = 7,899.93 × 2,307.96
  4. Step 4: Simplify right side
    5,266.62x = 18,232,722.44
  5. Step 5: Solve for x
    x = 18,232,722.44/5,266.62
  6. Step 6: Final answer
    x = 3,461.94

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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.