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Finding the Fourth Proportional to 4,548.34, 6,818.46 and 4,141.99

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Solution

The fourth proportional to 4,548.34, 6,818.46 and 4,141.99 is: 6,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.34 : 6,818.46 = 4,141.99 : x
  2. Step 2: Convert to fraction form
    4,548.34/6,818.46 = 4,141.99/x
  3. Step 3: Cross multiply
    4,548.34x = 6,818.46 × 4,141.99
  4. Step 4: Simplify right side
    4,548.34x = 28,241,993.14
  5. Step 5: Solve for x
    x = 28,241,993.14/4,548.34
  6. Step 6: Final answer
    x = 6,209.30

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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.