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Finding the Fourth Proportional to 5,266.25, 7,899.72 and 1,756.11

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Solution

The fourth proportional to 5,266.25, 7,899.72 and 1,756.11 is: 2,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.25 : 7,899.72 = 1,756.11 : x
  2. Step 2: Convert to fraction form
    5,266.25/7,899.72 = 1,756.11/x
  3. Step 3: Cross multiply
    5,266.25x = 7,899.72 × 1,756.11
  4. Step 4: Simplify right side
    5,266.25x = 13,872,777.29
  5. Step 5: Solve for x
    x = 13,872,777.29/5,266.25
  6. Step 6: Final answer
    x = 2,634.28

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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.