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Finding the Fourth Proportional to 5,214.32, 7,194.84 and 2,975.84

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Solution

The fourth proportional to 5,214.32, 7,194.84 and 2,975.84 is: 4,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.32 : 7,194.84 = 2,975.84 : x
  2. Step 2: Convert to fraction form
    5,214.32/7,194.84 = 2,975.84/x
  3. Step 3: Cross multiply
    5,214.32x = 7,194.84 × 2,975.84
  4. Step 4: Simplify right side
    5,214.32x = 21,410,692.67
  5. Step 5: Solve for x
    x = 21,410,692.67/5,214.32
  6. Step 6: Final answer
    x = 4,106.13

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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.