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Finding the Fourth Proportional to 4,756.95, 6,564.56 and 2,768.67

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Solution

The fourth proportional to 4,756.95, 6,564.56 and 2,768.67 is: 3,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.95 : 6,564.56 = 2,768.67 : x
  2. Step 2: Convert to fraction form
    4,756.95/6,564.56 = 2,768.67/x
  3. Step 3: Cross multiply
    4,756.95x = 6,564.56 × 2,768.67
  4. Step 4: Simplify right side
    4,756.95x = 18,175,086.49
  5. Step 5: Solve for x
    x = 18,175,086.49/4,756.95
  6. Step 6: Final answer
    x = 3,820.74

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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.