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Finding the Fourth Proportional to 4,735.56, 6,518.68 and 4,563.37

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Solution

The fourth proportional to 4,735.56, 6,518.68 and 4,563.37 is: 6,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.56 : 6,518.68 = 4,563.37 : x
  2. Step 2: Convert to fraction form
    4,735.56/6,518.68 = 4,563.37/x
  3. Step 3: Cross multiply
    4,735.56x = 6,518.68 × 4,563.37
  4. Step 4: Simplify right side
    4,735.56x = 29,747,145.49
  5. Step 5: Solve for x
    x = 29,747,145.49/4,735.56
  6. Step 6: Final answer
    x = 6,281.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.