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Finding the Fourth Proportional to 4,883.74, 7,325.97 and 1,765.60

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Solution

The fourth proportional to 4,883.74, 7,325.97 and 1,765.60 is: 2,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.74 : 7,325.97 = 1,765.60 : x
  2. Step 2: Convert to fraction form
    4,883.74/7,325.97 = 1,765.60/x
  3. Step 3: Cross multiply
    4,883.74x = 7,325.97 × 1,765.60
  4. Step 4: Simplify right side
    4,883.74x = 12,934,732.63
  5. Step 5: Solve for x
    x = 12,934,732.63/4,883.74
  6. Step 6: Final answer
    x = 2,648.53

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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.