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Finding the Fourth Proportional to 5,583.57, 7,705.04 and 3,315.00

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Solution

The fourth proportional to 5,583.57, 7,705.04 and 3,315.00 is: 4,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.57 : 7,705.04 = 3,315.00 : x
  2. Step 2: Convert to fraction form
    5,583.57/7,705.04 = 3,315.00/x
  3. Step 3: Cross multiply
    5,583.57x = 7,705.04 × 3,315.00
  4. Step 4: Simplify right side
    5,583.57x = 25,542,219.92
  5. Step 5: Solve for x
    x = 25,542,219.92/5,583.57
  6. Step 6: Final answer
    x = 4,574.54

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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.