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Finding the Fourth Proportional to 5,069, 7,603.26 and 1,605.80

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Solution

The fourth proportional to 5,069, 7,603.26 and 1,605.80 is: 2,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069 : 7,603.26 = 1,605.80 : x
  2. Step 2: Convert to fraction form
    5,069/7,603.26 = 1,605.80/x
  3. Step 3: Cross multiply
    5,069x = 7,603.26 × 1,605.80
  4. Step 4: Simplify right side
    5,069x = 12,209,314.91
  5. Step 5: Solve for x
    x = 12,209,314.91/5,069
  6. Step 6: Final answer
    x = 2,408.62

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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.