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Finding the Fourth Proportional to 4,647.03, 6,422.13 and 3,806.41

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Solution

The fourth proportional to 4,647.03, 6,422.13 and 3,806.41 is: 5,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.03 : 6,422.13 = 3,806.41 : x
  2. Step 2: Convert to fraction form
    4,647.03/6,422.13 = 3,806.41/x
  3. Step 3: Cross multiply
    4,647.03x = 6,422.13 × 3,806.41
  4. Step 4: Simplify right side
    4,647.03x = 24,445,259.85
  5. Step 5: Solve for x
    x = 24,445,259.85/4,647.03
  6. Step 6: Final answer
    x = 5,260.41

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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.