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Finding the Fourth Proportional to 5,266.29, 7,898.67 and 1,567.83

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Solution

The fourth proportional to 5,266.29, 7,898.67 and 1,567.83 is: 2,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.29 : 7,898.67 = 1,567.83 : x
  2. Step 2: Convert to fraction form
    5,266.29/7,898.67 = 1,567.83/x
  3. Step 3: Cross multiply
    5,266.29x = 7,898.67 × 1,567.83
  4. Step 4: Simplify right side
    5,266.29x = 12,383,771.79
  5. Step 5: Solve for x
    x = 12,383,771.79/5,266.29
  6. Step 6: Final answer
    x = 2,351.52

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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.