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Finding the Fourth Proportional to 5,980.30, 8,252.88 and 3,743.50

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Solution

The fourth proportional to 5,980.30, 8,252.88 and 3,743.50 is: 5,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.30 : 8,252.88 = 3,743.50 : x
  2. Step 2: Convert to fraction form
    5,980.30/8,252.88 = 3,743.50/x
  3. Step 3: Cross multiply
    5,980.30x = 8,252.88 × 3,743.50
  4. Step 4: Simplify right side
    5,980.30x = 30,894,656.28
  5. Step 5: Solve for x
    x = 30,894,656.28/5,980.30
  6. Step 6: Final answer
    x = 5,166.07

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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.