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Finding the Fourth Proportional to 5,604.06, 8,409.60 and 3,140.44

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Solution

The fourth proportional to 5,604.06, 8,409.60 and 3,140.44 is: 4,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.06 : 8,409.60 = 3,140.44 : x
  2. Step 2: Convert to fraction form
    5,604.06/8,409.60 = 3,140.44/x
  3. Step 3: Cross multiply
    5,604.06x = 8,409.60 × 3,140.44
  4. Step 4: Simplify right side
    5,604.06x = 26,409,844.22
  5. Step 5: Solve for x
    x = 26,409,844.22/5,604.06
  6. Step 6: Final answer
    x = 4,712.63

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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.