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Finding the Fourth Proportional to 4,756.75, 7,137.13 and 2,562.89

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Solution

The fourth proportional to 4,756.75, 7,137.13 and 2,562.89 is: 3,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.75 : 7,137.13 = 2,562.89 : x
  2. Step 2: Convert to fraction form
    4,756.75/7,137.13 = 2,562.89/x
  3. Step 3: Cross multiply
    4,756.75x = 7,137.13 × 2,562.89
  4. Step 4: Simplify right side
    4,756.75x = 18,291,690.54
  5. Step 5: Solve for x
    x = 18,291,690.54/4,756.75
  6. Step 6: Final answer
    x = 3,845.42

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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.