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Finding the Fourth Proportional to 5,583.75, 7,705.58 and 3,099.75

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Solution

The fourth proportional to 5,583.75, 7,705.58 and 3,099.75 is: 4,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.75 : 7,705.58 = 3,099.75 : x
  2. Step 2: Convert to fraction form
    5,583.75/7,705.58 = 3,099.75/x
  3. Step 3: Cross multiply
    5,583.75x = 7,705.58 × 3,099.75
  4. Step 4: Simplify right side
    5,583.75x = 23,885,356.11
  5. Step 5: Solve for x
    x = 23,885,356.11/5,583.75
  6. Step 6: Final answer
    x = 4,277.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.