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Finding the Fourth Proportional to 4,832.06, 6,671.49 and 3,017.84

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Solution

The fourth proportional to 4,832.06, 6,671.49 and 3,017.84 is: 4,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.06 : 6,671.49 = 3,017.84 : x
  2. Step 2: Convert to fraction form
    4,832.06/6,671.49 = 3,017.84/x
  3. Step 3: Cross multiply
    4,832.06x = 6,671.49 × 3,017.84
  4. Step 4: Simplify right side
    4,832.06x = 20,133,518.87
  5. Step 5: Solve for x
    x = 20,133,518.87/4,832.06
  6. Step 6: Final answer
    x = 4,166.65

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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.