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Finding the Fourth Proportional to 4,768.74, 6,580.68 and 2,672.76

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Solution

The fourth proportional to 4,768.74, 6,580.68 and 2,672.76 is: 3,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.74 : 6,580.68 = 2,672.76 : x
  2. Step 2: Convert to fraction form
    4,768.74/6,580.68 = 2,672.76/x
  3. Step 3: Cross multiply
    4,768.74x = 6,580.68 × 2,672.76
  4. Step 4: Simplify right side
    4,768.74x = 17,588,578.28
  5. Step 5: Solve for x
    x = 17,588,578.28/4,768.74
  6. Step 6: Final answer
    x = 3,688.31

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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.