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Finding the Fourth Proportional to 5,266.07, 7,903.66 and 2,147.80

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Solution

The fourth proportional to 5,266.07, 7,903.66 and 2,147.80 is: 3,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.07 : 7,903.66 = 2,147.80 : x
  2. Step 2: Convert to fraction form
    5,266.07/7,903.66 = 2,147.80/x
  3. Step 3: Cross multiply
    5,266.07x = 7,903.66 × 2,147.80
  4. Step 4: Simplify right side
    5,266.07x = 16,975,455.82
  5. Step 5: Solve for x
    x = 16,975,455.82/5,266.07
  6. Step 6: Final answer
    x = 3,223.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.