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Finding the Fourth Proportional to 4,068.98, 6,111.65 and 2,428.73

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Solution

The fourth proportional to 4,068.98, 6,111.65 and 2,428.73 is: 3,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.98 : 6,111.65 = 2,428.73 : x
  2. Step 2: Convert to fraction form
    4,068.98/6,111.65 = 2,428.73/x
  3. Step 3: Cross multiply
    4,068.98x = 6,111.65 × 2,428.73
  4. Step 4: Simplify right side
    4,068.98x = 14,843,523.22
  5. Step 5: Solve for x
    x = 14,843,523.22/4,068.98
  6. Step 6: Final answer
    x = 3,647.98

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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.