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Finding the Fourth Proportional to 4,758.15, 6,564.78 and 2,768.34

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Solution

The fourth proportional to 4,758.15, 6,564.78 and 2,768.34 is: 3,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.15 : 6,564.78 = 2,768.34 : x
  2. Step 2: Convert to fraction form
    4,758.15/6,564.78 = 2,768.34/x
  3. Step 3: Cross multiply
    4,758.15x = 6,564.78 × 2,768.34
  4. Step 4: Simplify right side
    4,758.15x = 18,173,543.07
  5. Step 5: Solve for x
    x = 18,173,543.07/4,758.15
  6. Step 6: Final answer
    x = 3,819.46

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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.