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Finding the Fourth Proportional to 4,275.92, 6,413.88 and 3,415.70

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Solution

The fourth proportional to 4,275.92, 6,413.88 and 3,415.70 is: 5,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.92 : 6,413.88 = 3,415.70 : x
  2. Step 2: Convert to fraction form
    4,275.92/6,413.88 = 3,415.70/x
  3. Step 3: Cross multiply
    4,275.92x = 6,413.88 × 3,415.70
  4. Step 4: Simplify right side
    4,275.92x = 21,907,889.92
  5. Step 5: Solve for x
    x = 21,907,889.92/4,275.92
  6. Step 6: Final answer
    x = 5,123.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.