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Finding the Fourth Proportional to 4,599.89, 6,899.85 and 1,137.14

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Solution

The fourth proportional to 4,599.89, 6,899.85 and 1,137.14 is: 1,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.89 : 6,899.85 = 1,137.14 : x
  2. Step 2: Convert to fraction form
    4,599.89/6,899.85 = 1,137.14/x
  3. Step 3: Cross multiply
    4,599.89x = 6,899.85 × 1,137.14
  4. Step 4: Simplify right side
    4,599.89x = 7,846,089.74
  5. Step 5: Solve for x
    x = 7,846,089.74/4,599.89
  6. Step 6: Final answer
    x = 1,705.71

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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.