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Finding the Fourth Proportional to 4,076.66, 6,118.49 and 4,045.98

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Solution

The fourth proportional to 4,076.66, 6,118.49 and 4,045.98 is: 6,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.66 : 6,118.49 = 4,045.98 : x
  2. Step 2: Convert to fraction form
    4,076.66/6,118.49 = 4,045.98/x
  3. Step 3: Cross multiply
    4,076.66x = 6,118.49 × 4,045.98
  4. Step 4: Simplify right side
    4,076.66x = 24,755,267.94
  5. Step 5: Solve for x
    x = 24,755,267.94/4,076.66
  6. Step 6: Final answer
    x = 6,072.44

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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.