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Finding the Fourth Proportional to 4,471.17, 6,702.65 and 2,277.33

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Solution

The fourth proportional to 4,471.17, 6,702.65 and 2,277.33 is: 3,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.17 : 6,702.65 = 2,277.33 : x
  2. Step 2: Convert to fraction form
    4,471.17/6,702.65 = 2,277.33/x
  3. Step 3: Cross multiply
    4,471.17x = 6,702.65 × 2,277.33
  4. Step 4: Simplify right side
    4,471.17x = 15,264,155.65
  5. Step 5: Solve for x
    x = 15,264,155.65/4,471.17
  6. Step 6: Final answer
    x = 3,413.91

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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.