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Finding the Fourth Proportional to 4,990.80, 6,884.76 and 3,420.40

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Solution

The fourth proportional to 4,990.80, 6,884.76 and 3,420.40 is: 4,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.80 : 6,884.76 = 3,420.40 : x
  2. Step 2: Convert to fraction form
    4,990.80/6,884.76 = 3,420.40/x
  3. Step 3: Cross multiply
    4,990.80x = 6,884.76 × 3,420.40
  4. Step 4: Simplify right side
    4,990.80x = 23,548,633.10
  5. Step 5: Solve for x
    x = 23,548,633.10/4,990.80
  6. Step 6: Final answer
    x = 4,718.41

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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.