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Finding the Fourth Proportional to 4,768.58, 7,112.66 and 4,622.78

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Solution

The fourth proportional to 4,768.58, 7,112.66 and 4,622.78 is: 6,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.58 : 7,112.66 = 4,622.78 : x
  2. Step 2: Convert to fraction form
    4,768.58/7,112.66 = 4,622.78/x
  3. Step 3: Cross multiply
    4,768.58x = 7,112.66 × 4,622.78
  4. Step 4: Simplify right side
    4,768.58x = 32,880,262.39
  5. Step 5: Solve for x
    x = 32,880,262.39/4,768.58
  6. Step 6: Final answer
    x = 6,895.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.