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Finding the Fourth Proportional to 3,605.88, 5,408.76 and 1,140.60

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Solution

The fourth proportional to 3,605.88, 5,408.76 and 1,140.60 is: 1,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.88 : 5,408.76 = 1,140.60 : x
  2. Step 2: Convert to fraction form
    3,605.88/5,408.76 = 1,140.60/x
  3. Step 3: Cross multiply
    3,605.88x = 5,408.76 × 1,140.60
  4. Step 4: Simplify right side
    3,605.88x = 6,169,231.66
  5. Step 5: Solve for x
    x = 6,169,231.66/3,605.88
  6. Step 6: Final answer
    x = 1,710.88

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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.