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Finding the Fourth Proportional to 5,266.19, 7,266.02 and 3,567.82

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Solution

The fourth proportional to 5,266.19, 7,266.02 and 3,567.82 is: 4,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.19 : 7,266.02 = 3,567.82 : x
  2. Step 2: Convert to fraction form
    5,266.19/7,266.02 = 3,567.82/x
  3. Step 3: Cross multiply
    5,266.19x = 7,266.02 × 3,567.82
  4. Step 4: Simplify right side
    5,266.19x = 25,923,851.48
  5. Step 5: Solve for x
    x = 25,923,851.48/5,266.19
  6. Step 6: Final answer
    x = 4,922.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.