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Finding the Fourth Proportional to 5,266.69, 7,901.33 and 1,568.90

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Solution

The fourth proportional to 5,266.69, 7,901.33 and 1,568.90 is: 2,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.69 : 7,901.33 = 1,568.90 : x
  2. Step 2: Convert to fraction form
    5,266.69/7,901.33 = 1,568.90/x
  3. Step 3: Cross multiply
    5,266.69x = 7,901.33 × 1,568.90
  4. Step 4: Simplify right side
    5,266.69x = 12,396,417.37
  5. Step 5: Solve for x
    x = 12,396,417.37/5,266.69
  6. Step 6: Final answer
    x = 2,353.74

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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.