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Finding the Fourth Proportional to 4,756.98, 6,564.60 and 2,768.70

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Solution

The fourth proportional to 4,756.98, 6,564.60 and 2,768.70 is: 3,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.98 : 6,564.60 = 2,768.70 : x
  2. Step 2: Convert to fraction form
    4,756.98/6,564.60 = 2,768.70/x
  3. Step 3: Cross multiply
    4,756.98x = 6,564.60 × 2,768.70
  4. Step 4: Simplify right side
    4,756.98x = 18,175,408.02
  5. Step 5: Solve for x
    x = 18,175,408.02/4,756.98
  6. Step 6: Final answer
    x = 3,820.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.