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Finding the Fourth Proportional to 5,413.95, 7,471.71 and 3,056.04

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Solution

The fourth proportional to 5,413.95, 7,471.71 and 3,056.04 is: 4,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.95 : 7,471.71 = 3,056.04 : x
  2. Step 2: Convert to fraction form
    5,413.95/7,471.71 = 3,056.04/x
  3. Step 3: Cross multiply
    5,413.95x = 7,471.71 × 3,056.04
  4. Step 4: Simplify right side
    5,413.95x = 22,833,844.63
  5. Step 5: Solve for x
    x = 22,833,844.63/5,413.95
  6. Step 6: Final answer
    x = 4,217.59

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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.