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Finding the Fourth Proportional to 5,413.68, 7,470.36 and 4,297.32

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Solution

The fourth proportional to 5,413.68, 7,470.36 and 4,297.32 is: 5,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.68 : 7,470.36 = 4,297.32 : x
  2. Step 2: Convert to fraction form
    5,413.68/7,470.36 = 4,297.32/x
  3. Step 3: Cross multiply
    5,413.68x = 7,470.36 × 4,297.32
  4. Step 4: Simplify right side
    5,413.68x = 32,102,527.44
  5. Step 5: Solve for x
    x = 32,102,527.44/5,413.68
  6. Step 6: Final answer
    x = 5,929.89

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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.