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Finding the Fourth Proportional to 4,930.40, 6,808.80 and 4,218.20

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Solution

The fourth proportional to 4,930.40, 6,808.80 and 4,218.20 is: 5,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.40 : 6,808.80 = 4,218.20 : x
  2. Step 2: Convert to fraction form
    4,930.40/6,808.80 = 4,218.20/x
  3. Step 3: Cross multiply
    4,930.40x = 6,808.80 × 4,218.20
  4. Step 4: Simplify right side
    4,930.40x = 28,720,880.16
  5. Step 5: Solve for x
    x = 28,720,880.16/4,930.40
  6. Step 6: Final answer
    x = 5,825.26

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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.