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Finding the Fourth Proportional to 4,413.24, 6,571.87 and 4,364.76

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Solution

The fourth proportional to 4,413.24, 6,571.87 and 4,364.76 is: 6,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.24 : 6,571.87 = 4,364.76 : x
  2. Step 2: Convert to fraction form
    4,413.24/6,571.87 = 4,364.76/x
  3. Step 3: Cross multiply
    4,413.24x = 6,571.87 × 4,364.76
  4. Step 4: Simplify right side
    4,413.24x = 28,684,635.30
  5. Step 5: Solve for x
    x = 28,684,635.30/4,413.24
  6. Step 6: Final answer
    x = 6,499.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.