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Finding the Fourth Proportional to 4,471.14, 6,700.64 and 1,696.32

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Solution

The fourth proportional to 4,471.14, 6,700.64 and 1,696.32 is: 2,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.14 : 6,700.64 = 1,696.32 : x
  2. Step 2: Convert to fraction form
    4,471.14/6,700.64 = 1,696.32/x
  3. Step 3: Cross multiply
    4,471.14x = 6,700.64 × 1,696.32
  4. Step 4: Simplify right side
    4,471.14x = 11,366,421.16
  5. Step 5: Solve for x
    x = 11,366,421.16/4,471.14
  6. Step 6: Final answer
    x = 2,542.18

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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.