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Finding the Fourth Proportional to 4,471.16, 6,172.82 and 2,981.16

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Solution

The fourth proportional to 4,471.16, 6,172.82 and 2,981.16 is: 4,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.16 : 6,172.82 = 2,981.16 : x
  2. Step 2: Convert to fraction form
    4,471.16/6,172.82 = 2,981.16/x
  3. Step 3: Cross multiply
    4,471.16x = 6,172.82 × 2,981.16
  4. Step 4: Simplify right side
    4,471.16x = 18,402,164.07
  5. Step 5: Solve for x
    x = 18,402,164.07/4,471.16
  6. Step 6: Final answer
    x = 4,115.75

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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.