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Finding the Fourth Proportional to 5,622.41, 7,758.08 and 3,384.08

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Solution

The fourth proportional to 5,622.41, 7,758.08 and 3,384.08 is: 4,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.41 : 7,758.08 = 3,384.08 : x
  2. Step 2: Convert to fraction form
    5,622.41/7,758.08 = 3,384.08/x
  3. Step 3: Cross multiply
    5,622.41x = 7,758.08 × 3,384.08
  4. Step 4: Simplify right side
    5,622.41x = 26,253,949.44
  5. Step 5: Solve for x
    x = 26,253,949.44/5,622.41
  6. Step 6: Final answer
    x = 4,669.52

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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.