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Finding the Fourth Proportional to 4,541.64, 6,813.36 and 1,768.20

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Solution

The fourth proportional to 4,541.64, 6,813.36 and 1,768.20 is: 2,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.64 : 6,813.36 = 1,768.20 : x
  2. Step 2: Convert to fraction form
    4,541.64/6,813.36 = 1,768.20/x
  3. Step 3: Cross multiply
    4,541.64x = 6,813.36 × 1,768.20
  4. Step 4: Simplify right side
    4,541.64x = 12,047,383.15
  5. Step 5: Solve for x
    x = 12,047,383.15/4,541.64
  6. Step 6: Final answer
    x = 2,652.65

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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.