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Finding the Fourth Proportional to 5,184.80, 7,152.07 and 3,194.93

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Solution

The fourth proportional to 5,184.80, 7,152.07 and 3,194.93 is: 4,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.80 : 7,152.07 = 3,194.93 : x
  2. Step 2: Convert to fraction form
    5,184.80/7,152.07 = 3,194.93/x
  3. Step 3: Cross multiply
    5,184.80x = 7,152.07 × 3,194.93
  4. Step 4: Simplify right side
    5,184.80x = 22,850,363.01
  5. Step 5: Solve for x
    x = 22,850,363.01/5,184.80
  6. Step 6: Final answer
    x = 4,407.18

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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.