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Finding the Fourth Proportional to 4,600.75, 6,349.76 and 2,738.83

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Solution

The fourth proportional to 4,600.75, 6,349.76 and 2,738.83 is: 3,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.75 : 6,349.76 = 2,738.83 : x
  2. Step 2: Convert to fraction form
    4,600.75/6,349.76 = 2,738.83/x
  3. Step 3: Cross multiply
    4,600.75x = 6,349.76 × 2,738.83
  4. Step 4: Simplify right side
    4,600.75x = 17,390,899.49
  5. Step 5: Solve for x
    x = 17,390,899.49/4,600.75
  6. Step 6: Final answer
    x = 3,780.01

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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.