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Finding the Fourth Proportional to 5,583.45, 8,368 and 2,461.44

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Solution

The fourth proportional to 5,583.45, 8,368 and 2,461.44 is: 3,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.45 : 8,368 = 2,461.44 : x
  2. Step 2: Convert to fraction form
    5,583.45/8,368 = 2,461.44/x
  3. Step 3: Cross multiply
    5,583.45x = 8,368 × 2,461.44
  4. Step 4: Simplify right side
    5,583.45x = 20,597,329.92
  5. Step 5: Solve for x
    x = 20,597,329.92/5,583.45
  6. Step 6: Final answer
    x = 3,689.00

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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.