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Finding the Fourth Proportional to 5,071.59, 6,998.94 and 2,975.72

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Solution

The fourth proportional to 5,071.59, 6,998.94 and 2,975.72 is: 4,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.59 : 6,998.94 = 2,975.72 : x
  2. Step 2: Convert to fraction form
    5,071.59/6,998.94 = 2,975.72/x
  3. Step 3: Cross multiply
    5,071.59x = 6,998.94 × 2,975.72
  4. Step 4: Simplify right side
    5,071.59x = 20,826,850.74
  5. Step 5: Solve for x
    x = 20,826,850.74/5,071.59
  6. Step 6: Final answer
    x = 4,106.57

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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.