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Finding the Fourth Proportional to 4,471.02, 6,170.00 and 2,678.83

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Solution

The fourth proportional to 4,471.02, 6,170.00 and 2,678.83 is: 3,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.02 : 6,170.00 = 2,678.83 : x
  2. Step 2: Convert to fraction form
    4,471.02/6,170.00 = 2,678.83/x
  3. Step 3: Cross multiply
    4,471.02x = 6,170.00 × 2,678.83
  4. Step 4: Simplify right side
    4,471.02x = 16,528,352.28
  5. Step 5: Solve for x
    x = 16,528,352.28/4,471.02
  6. Step 6: Final answer
    x = 3,696.77

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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.