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Finding the Fourth Proportional to 4,768.22, 6,580.16 and 2,672.34

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Solution

The fourth proportional to 4,768.22, 6,580.16 and 2,672.34 is: 3,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.22 : 6,580.16 = 2,672.34 : x
  2. Step 2: Convert to fraction form
    4,768.22/6,580.16 = 2,672.34/x
  3. Step 3: Cross multiply
    4,768.22x = 6,580.16 × 2,672.34
  4. Step 4: Simplify right side
    4,768.22x = 17,584,411.41
  5. Step 5: Solve for x
    x = 17,584,411.41/4,768.22
  6. Step 6: Final answer
    x = 3,687.84

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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.