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Finding the Fourth Proportional to 5,321.57, 7,969.46 and 4,537.08

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Solution

The fourth proportional to 5,321.57, 7,969.46 and 4,537.08 is: 6,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.57 : 7,969.46 = 4,537.08 : x
  2. Step 2: Convert to fraction form
    5,321.57/7,969.46 = 4,537.08/x
  3. Step 3: Cross multiply
    5,321.57x = 7,969.46 × 4,537.08
  4. Step 4: Simplify right side
    5,321.57x = 36,158,054.89
  5. Step 5: Solve for x
    x = 36,158,054.89/5,321.57
  6. Step 6: Final answer
    x = 6,794.63

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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.