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Finding the Fourth Proportional to 4,738.69, 6,538.08 and 3,060.17

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Solution

The fourth proportional to 4,738.69, 6,538.08 and 3,060.17 is: 4,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.69 : 6,538.08 = 3,060.17 : x
  2. Step 2: Convert to fraction form
    4,738.69/6,538.08 = 3,060.17/x
  3. Step 3: Cross multiply
    4,738.69x = 6,538.08 × 3,060.17
  4. Step 4: Simplify right side
    4,738.69x = 20,007,636.27
  5. Step 5: Solve for x
    x = 20,007,636.27/4,738.69
  6. Step 6: Final answer
    x = 4,222.19

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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.