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Finding the Fourth Proportional to 6,094.16, 8,409.83 and 3,405.42

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Solution

The fourth proportional to 6,094.16, 8,409.83 and 3,405.42 is: 4,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.16 : 8,409.83 = 3,405.42 : x
  2. Step 2: Convert to fraction form
    6,094.16/8,409.83 = 3,405.42/x
  3. Step 3: Cross multiply
    6,094.16x = 8,409.83 × 3,405.42
  4. Step 4: Simplify right side
    6,094.16x = 28,638,986.25
  5. Step 5: Solve for x
    x = 28,638,986.25/6,094.16
  6. Step 6: Final answer
    x = 4,699.42

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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.