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Finding the Fourth Proportional to 6,024.63, 8,314.61 and 3,788.22

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Solution

The fourth proportional to 6,024.63, 8,314.61 and 3,788.22 is: 5,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.63 : 8,314.61 = 3,788.22 : x
  2. Step 2: Convert to fraction form
    6,024.63/8,314.61 = 3,788.22/x
  3. Step 3: Cross multiply
    6,024.63x = 8,314.61 × 3,788.22
  4. Step 4: Simplify right side
    6,024.63x = 31,497,571.89
  5. Step 5: Solve for x
    x = 31,497,571.89/6,024.63
  6. Step 6: Final answer
    x = 5,228.13

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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.