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Finding the Fourth Proportional to 4,563.72, 6,809.76 and 4,285.08

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Solution

The fourth proportional to 4,563.72, 6,809.76 and 4,285.08 is: 6,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.72 : 6,809.76 = 4,285.08 : x
  2. Step 2: Convert to fraction form
    4,563.72/6,809.76 = 4,285.08/x
  3. Step 3: Cross multiply
    4,563.72x = 6,809.76 × 4,285.08
  4. Step 4: Simplify right side
    4,563.72x = 29,180,366.38
  5. Step 5: Solve for x
    x = 29,180,366.38/4,563.72
  6. Step 6: Final answer
    x = 6,393.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.