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Finding the Fourth Proportional to 4,274.95, 6,413.37 and 1,313.80

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Solution

The fourth proportional to 4,274.95, 6,413.37 and 1,313.80 is: 1,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.95 : 6,413.37 = 1,313.80 : x
  2. Step 2: Convert to fraction form
    4,274.95/6,413.37 = 1,313.80/x
  3. Step 3: Cross multiply
    4,274.95x = 6,413.37 × 1,313.80
  4. Step 4: Simplify right side
    4,274.95x = 8,425,878.94
  5. Step 5: Solve for x
    x = 8,425,878.94/4,274.95
  6. Step 6: Final answer
    x = 1,970.99

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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.