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Finding the Fourth Proportional to 4,877.43, 7,305.21 and 4,713.41

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Solution

The fourth proportional to 4,877.43, 7,305.21 and 4,713.41 is: 7,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.43 : 7,305.21 = 4,713.41 : x
  2. Step 2: Convert to fraction form
    4,877.43/7,305.21 = 4,713.41/x
  3. Step 3: Cross multiply
    4,877.43x = 7,305.21 × 4,713.41
  4. Step 4: Simplify right side
    4,877.43x = 34,432,413.34
  5. Step 5: Solve for x
    x = 34,432,413.34/4,877.43
  6. Step 6: Final answer
    x = 7,059.54

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Why These Related Problems?

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