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Finding the Fourth Proportional to 4,563.48, 6,830.64 and 3,244

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Solution

The fourth proportional to 4,563.48, 6,830.64 and 3,244 is: 4,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.48 : 6,830.64 = 3,244 : x
  2. Step 2: Convert to fraction form
    4,563.48/6,830.64 = 3,244/x
  3. Step 3: Cross multiply
    4,563.48x = 6,830.64 × 3,244
  4. Step 4: Simplify right side
    4,563.48x = 22,158,596.16
  5. Step 5: Solve for x
    x = 22,158,596.16/4,563.48
  6. Step 6: Final answer
    x = 4,855.64

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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.