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Finding the Fourth Proportional to 5,091.84, 7,635.16 and 1,804.44

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Solution

The fourth proportional to 5,091.84, 7,635.16 and 1,804.44 is: 2,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.84 : 7,635.16 = 1,804.44 : x
  2. Step 2: Convert to fraction form
    5,091.84/7,635.16 = 1,804.44/x
  3. Step 3: Cross multiply
    5,091.84x = 7,635.16 × 1,804.44
  4. Step 4: Simplify right side
    5,091.84x = 13,777,188.11
  5. Step 5: Solve for x
    x = 13,777,188.11/5,091.84
  6. Step 6: Final answer
    x = 2,705.74

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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.