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Finding the Fourth Proportional to 5,152.75, 7,105.62 and 4,583.82

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Solution

The fourth proportional to 5,152.75, 7,105.62 and 4,583.82 is: 6,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.75 : 7,105.62 = 4,583.82 : x
  2. Step 2: Convert to fraction form
    5,152.75/7,105.62 = 4,583.82/x
  3. Step 3: Cross multiply
    5,152.75x = 7,105.62 × 4,583.82
  4. Step 4: Simplify right side
    5,152.75x = 32,570,883.07
  5. Step 5: Solve for x
    x = 32,570,883.07/5,152.75
  6. Step 6: Final answer
    x = 6,321.07

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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.