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Finding the Fourth Proportional to 4,856.77, 6,678.93 and 4,059.73

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Solution

The fourth proportional to 4,856.77, 6,678.93 and 4,059.73 is: 5,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.77 : 6,678.93 = 4,059.73 : x
  2. Step 2: Convert to fraction form
    4,856.77/6,678.93 = 4,059.73/x
  3. Step 3: Cross multiply
    4,856.77x = 6,678.93 × 4,059.73
  4. Step 4: Simplify right side
    4,856.77x = 27,114,652.49
  5. Step 5: Solve for x
    x = 27,114,652.49/4,856.77
  6. Step 6: Final answer
    x = 5,582.86

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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.