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Finding the Fourth Proportional to 4,098.81, 6,146.79 and 2,536.43

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Solution

The fourth proportional to 4,098.81, 6,146.79 and 2,536.43 is: 3,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.81 : 6,146.79 = 2,536.43 : x
  2. Step 2: Convert to fraction form
    4,098.81/6,146.79 = 2,536.43/x
  3. Step 3: Cross multiply
    4,098.81x = 6,146.79 × 2,536.43
  4. Step 4: Simplify right side
    4,098.81x = 15,590,871.83
  5. Step 5: Solve for x
    x = 15,590,871.83/4,098.81
  6. Step 6: Final answer
    x = 3,803.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.