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Finding the Fourth Proportional to 5,052.60, 7,576.47 and 1,765.62

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Solution

The fourth proportional to 5,052.60, 7,576.47 and 1,765.62 is: 2,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.60 : 7,576.47 = 1,765.62 : x
  2. Step 2: Convert to fraction form
    5,052.60/7,576.47 = 1,765.62/x
  3. Step 3: Cross multiply
    5,052.60x = 7,576.47 × 1,765.62
  4. Step 4: Simplify right side
    5,052.60x = 13,377,166.96
  5. Step 5: Solve for x
    x = 13,377,166.96/5,052.60
  6. Step 6: Final answer
    x = 2,647.58

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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.