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Finding the Fourth Proportional to 6,259.29, 8,638.74 and 3,606.63

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Solution

The fourth proportional to 6,259.29, 8,638.74 and 3,606.63 is: 4,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.29 : 8,638.74 = 3,606.63 : x
  2. Step 2: Convert to fraction form
    6,259.29/8,638.74 = 3,606.63/x
  3. Step 3: Cross multiply
    6,259.29x = 8,638.74 × 3,606.63
  4. Step 4: Simplify right side
    6,259.29x = 31,156,738.85
  5. Step 5: Solve for x
    x = 31,156,738.85/6,259.29
  6. Step 6: Final answer
    x = 4,977.68

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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.