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Finding the Fourth Proportional to 6,097.32, 8,413.32 and 3,444.66

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Solution

The fourth proportional to 6,097.32, 8,413.32 and 3,444.66 is: 4,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.32 : 8,413.32 = 3,444.66 : x
  2. Step 2: Convert to fraction form
    6,097.32/8,413.32 = 3,444.66/x
  3. Step 3: Cross multiply
    6,097.32x = 8,413.32 × 3,444.66
  4. Step 4: Simplify right side
    6,097.32x = 28,981,026.87
  5. Step 5: Solve for x
    x = 28,981,026.87/6,097.32
  6. Step 6: Final answer
    x = 4,753.08

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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.