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Finding the Fourth Proportional to 6,264.57, 8,645.01 and 3,431.93

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Solution

The fourth proportional to 6,264.57, 8,645.01 and 3,431.93 is: 4,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.57 : 8,645.01 = 3,431.93 : x
  2. Step 2: Convert to fraction form
    6,264.57/8,645.01 = 3,431.93/x
  3. Step 3: Cross multiply
    6,264.57x = 8,645.01 × 3,431.93
  4. Step 4: Simplify right side
    6,264.57x = 29,669,025.94
  5. Step 5: Solve for x
    x = 29,669,025.94/6,264.57
  6. Step 6: Final answer
    x = 4,736.00

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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.