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Finding the Fourth Proportional to 5,063.08, 6,985.96 and 3,199

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Solution

The fourth proportional to 5,063.08, 6,985.96 and 3,199 is: 4,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.08 : 6,985.96 = 3,199 : x
  2. Step 2: Convert to fraction form
    5,063.08/6,985.96 = 3,199/x
  3. Step 3: Cross multiply
    5,063.08x = 6,985.96 × 3,199
  4. Step 4: Simplify right side
    5,063.08x = 22,348,086.04
  5. Step 5: Solve for x
    x = 22,348,086.04/5,063.08
  6. Step 6: Final answer
    x = 4,413.93

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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.