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Finding the Fourth Proportional to 6,094.31, 8,409.95 and 3,405.70

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Solution

The fourth proportional to 6,094.31, 8,409.95 and 3,405.70 is: 4,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.31 : 8,409.95 = 3,405.70 : x
  2. Step 2: Convert to fraction form
    6,094.31/8,409.95 = 3,405.70/x
  3. Step 3: Cross multiply
    6,094.31x = 8,409.95 × 3,405.70
  4. Step 4: Simplify right side
    6,094.31x = 28,641,741.43
  5. Step 5: Solve for x
    x = 28,641,741.43/6,094.31
  6. Step 6: Final answer
    x = 4,699.75

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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.