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Finding the Fourth Proportional to 6,583.41, 9,085.32 and 3,599.46

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Solution

The fourth proportional to 6,583.41, 9,085.32 and 3,599.46 is: 4,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.41 : 9,085.32 = 3,599.46 : x
  2. Step 2: Convert to fraction form
    6,583.41/9,085.32 = 3,599.46/x
  3. Step 3: Cross multiply
    6,583.41x = 9,085.32 × 3,599.46
  4. Step 4: Simplify right side
    6,583.41x = 32,702,245.93
  5. Step 5: Solve for x
    x = 32,702,245.93/6,583.41
  6. Step 6: Final answer
    x = 4,967.37

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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.