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Finding the Fourth Proportional to 4,409.74, 6,583.06 and 4,255.84

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Solution

The fourth proportional to 4,409.74, 6,583.06 and 4,255.84 is: 6,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.74 : 6,583.06 = 4,255.84 : x
  2. Step 2: Convert to fraction form
    4,409.74/6,583.06 = 4,255.84/x
  3. Step 3: Cross multiply
    4,409.74x = 6,583.06 × 4,255.84
  4. Step 4: Simplify right side
    4,409.74x = 28,016,450.07
  5. Step 5: Solve for x
    x = 28,016,450.07/4,409.74
  6. Step 6: Final answer
    x = 6,353.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.