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Finding the Fourth Proportional to 5,184.39, 7,148.92 and 3,412.92

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Solution

The fourth proportional to 5,184.39, 7,148.92 and 3,412.92 is: 4,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.39 : 7,148.92 = 3,412.92 : x
  2. Step 2: Convert to fraction form
    5,184.39/7,148.92 = 3,412.92/x
  3. Step 3: Cross multiply
    5,184.39x = 7,148.92 × 3,412.92
  4. Step 4: Simplify right side
    5,184.39x = 24,398,692.05
  5. Step 5: Solve for x
    x = 24,398,692.05/5,184.39
  6. Step 6: Final answer
    x = 4,706.18

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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.