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Finding the Fourth Proportional to 4,471.30, 6,702.09 and 2,277.01

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Solution

The fourth proportional to 4,471.30, 6,702.09 and 2,277.01 is: 3,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.30 : 6,702.09 = 2,277.01 : x
  2. Step 2: Convert to fraction form
    4,471.30/6,702.09 = 2,277.01/x
  3. Step 3: Cross multiply
    4,471.30x = 6,702.09 × 2,277.01
  4. Step 4: Simplify right side
    4,471.30x = 15,260,725.95
  5. Step 5: Solve for x
    x = 15,260,725.95/4,471.30
  6. Step 6: Final answer
    x = 3,413.04

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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.