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Finding the Fourth Proportional to 6,046.23, 8,343.89 and 3,655.86

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Solution

The fourth proportional to 6,046.23, 8,343.89 and 3,655.86 is: 5,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.23 : 8,343.89 = 3,655.86 : x
  2. Step 2: Convert to fraction form
    6,046.23/8,343.89 = 3,655.86/x
  3. Step 3: Cross multiply
    6,046.23x = 8,343.89 × 3,655.86
  4. Step 4: Simplify right side
    6,046.23x = 30,504,075.42
  5. Step 5: Solve for x
    x = 30,504,075.42/6,046.23
  6. Step 6: Final answer
    x = 5,045.14

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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.