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Finding the Fourth Proportional to 5,660.82, 8,478.84 and 4,012.37

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Solution

The fourth proportional to 5,660.82, 8,478.84 and 4,012.37 is: 6,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.82 : 8,478.84 = 4,012.37 : x
  2. Step 2: Convert to fraction form
    5,660.82/8,478.84 = 4,012.37/x
  3. Step 3: Cross multiply
    5,660.82x = 8,478.84 × 4,012.37
  4. Step 4: Simplify right side
    5,660.82x = 34,020,200.86
  5. Step 5: Solve for x
    x = 34,020,200.86/5,660.82
  6. Step 6: Final answer
    x = 6,009.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.