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Finding the Fourth Proportional to 5,071.68, 6,998.40 and 2,975.04

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Solution

The fourth proportional to 5,071.68, 6,998.40 and 2,975.04 is: 4,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.68 : 6,998.40 = 2,975.04 : x
  2. Step 2: Convert to fraction form
    5,071.68/6,998.40 = 2,975.04/x
  3. Step 3: Cross multiply
    5,071.68x = 6,998.40 × 2,975.04
  4. Step 4: Simplify right side
    5,071.68x = 20,820,519.94
  5. Step 5: Solve for x
    x = 20,820,519.94/5,071.68
  6. Step 6: Final answer
    x = 4,105.25

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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.