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Finding the Fourth Proportional to 6,046, 8,344.92 and 3,690.12

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Solution

The fourth proportional to 6,046, 8,344.92 and 3,690.12 is: 5,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046 : 8,344.92 = 3,690.12 : x
  2. Step 2: Convert to fraction form
    6,046/8,344.92 = 3,690.12/x
  3. Step 3: Cross multiply
    6,046x = 8,344.92 × 3,690.12
  4. Step 4: Simplify right side
    6,046x = 30,793,756.19
  5. Step 5: Solve for x
    x = 30,793,756.19/6,046
  6. Step 6: Final answer
    x = 5,093.24

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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.