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Finding the Fourth Proportional to 4,625.57, 6,384.11 and 2,738.20

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Solution

The fourth proportional to 4,625.57, 6,384.11 and 2,738.20 is: 3,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.57 : 6,384.11 = 2,738.20 : x
  2. Step 2: Convert to fraction form
    4,625.57/6,384.11 = 2,738.20/x
  3. Step 3: Cross multiply
    4,625.57x = 6,384.11 × 2,738.20
  4. Step 4: Simplify right side
    4,625.57x = 17,480,956.31
  5. Step 5: Solve for x
    x = 17,480,956.31/4,625.57
  6. Step 6: Final answer
    x = 3,779.20

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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.