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Finding the Fourth Proportional to 4,566.45, 6,843.60 and 3,266.40

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Solution

The fourth proportional to 4,566.45, 6,843.60 and 3,266.40 is: 4,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.45 : 6,843.60 = 3,266.40 : x
  2. Step 2: Convert to fraction form
    4,566.45/6,843.60 = 3,266.40/x
  3. Step 3: Cross multiply
    4,566.45x = 6,843.60 × 3,266.40
  4. Step 4: Simplify right side
    4,566.45x = 22,353,935.04
  5. Step 5: Solve for x
    x = 22,353,935.04/4,566.45
  6. Step 6: Final answer
    x = 4,895.25

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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.