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Finding the Fourth Proportional to 4,310.80, 6,466.20 and 4,278.40

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Solution

The fourth proportional to 4,310.80, 6,466.20 and 4,278.40 is: 6,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.80 : 6,466.20 = 4,278.40 : x
  2. Step 2: Convert to fraction form
    4,310.80/6,466.20 = 4,278.40/x
  3. Step 3: Cross multiply
    4,310.80x = 6,466.20 × 4,278.40
  4. Step 4: Simplify right side
    4,310.80x = 27,664,990.08
  5. Step 5: Solve for x
    x = 27,664,990.08/4,310.80
  6. Step 6: Final answer
    x = 6,417.60

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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.