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Finding the Fourth Proportional to 4,548.36, 6,818.28 and 4,142.58

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Solution

The fourth proportional to 4,548.36, 6,818.28 and 4,142.58 is: 6,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.36 : 6,818.28 = 4,142.58 : x
  2. Step 2: Convert to fraction form
    4,548.36/6,818.28 = 4,142.58/x
  3. Step 3: Cross multiply
    4,548.36x = 6,818.28 × 4,142.58
  4. Step 4: Simplify right side
    4,548.36x = 28,245,270.36
  5. Step 5: Solve for x
    x = 28,245,270.36/4,548.36
  6. Step 6: Final answer
    x = 6,209.99

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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.