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Finding the Fourth Proportional to 6,046.41, 8,344.76 and 3,656.10

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Solution

The fourth proportional to 6,046.41, 8,344.76 and 3,656.10 is: 5,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.41 : 8,344.76 = 3,656.10 : x
  2. Step 2: Convert to fraction form
    6,046.41/8,344.76 = 3,656.10/x
  3. Step 3: Cross multiply
    6,046.41x = 8,344.76 × 3,656.10
  4. Step 4: Simplify right side
    6,046.41x = 30,509,290.05
  5. Step 5: Solve for x
    x = 30,509,290.05/6,046.41
  6. Step 6: Final answer
    x = 5,045.85

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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.