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Finding the Fourth Proportional to 5,535.94, 7,644.96 and 4,734.58

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Solution

The fourth proportional to 5,535.94, 7,644.96 and 4,734.58 is: 6,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.94 : 7,644.96 = 4,734.58 : x
  2. Step 2: Convert to fraction form
    5,535.94/7,644.96 = 4,734.58/x
  3. Step 3: Cross multiply
    5,535.94x = 7,644.96 × 4,734.58
  4. Step 4: Simplify right side
    5,535.94x = 36,195,674.72
  5. Step 5: Solve for x
    x = 36,195,674.72/5,535.94
  6. Step 6: Final answer
    x = 6,538.31

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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.