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Finding the Fourth Proportional to 4,756.65, 6,564.86 and 2,768.30

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Solution

The fourth proportional to 4,756.65, 6,564.86 and 2,768.30 is: 3,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.65 : 6,564.86 = 2,768.30 : x
  2. Step 2: Convert to fraction form
    4,756.65/6,564.86 = 2,768.30/x
  3. Step 3: Cross multiply
    4,756.65x = 6,564.86 × 2,768.30
  4. Step 4: Simplify right side
    4,756.65x = 18,173,524.31
  5. Step 5: Solve for x
    x = 18,173,524.31/4,756.65
  6. Step 6: Final answer
    x = 3,820.66

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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.