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Finding the Fourth Proportional to 5,132.22, 7,699 and 1,845.68

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Solution

The fourth proportional to 5,132.22, 7,699 and 1,845.68 is: 2,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.22 : 7,699 = 1,845.68 : x
  2. Step 2: Convert to fraction form
    5,132.22/7,699 = 1,845.68/x
  3. Step 3: Cross multiply
    5,132.22x = 7,699 × 1,845.68
  4. Step 4: Simplify right side
    5,132.22x = 14,209,890.32
  5. Step 5: Solve for x
    x = 14,209,890.32/5,132.22
  6. Step 6: Final answer
    x = 2,768.76

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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.