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Finding the Fourth Proportional to 4,896.83, 6,753.69 and 4,486.76

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Solution

The fourth proportional to 4,896.83, 6,753.69 and 4,486.76 is: 6,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.83 : 6,753.69 = 4,486.76 : x
  2. Step 2: Convert to fraction form
    4,896.83/6,753.69 = 4,486.76/x
  3. Step 3: Cross multiply
    4,896.83x = 6,753.69 × 4,486.76
  4. Step 4: Simplify right side
    4,896.83x = 30,302,186.14
  5. Step 5: Solve for x
    x = 30,302,186.14/4,896.83
  6. Step 6: Final answer
    x = 6,188.12

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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.