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Finding the Fourth Proportional to 3,804.29, 5,703.70 and 2,568.63

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Solution

The fourth proportional to 3,804.29, 5,703.70 and 2,568.63 is: 3,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.29 : 5,703.70 = 2,568.63 : x
  2. Step 2: Convert to fraction form
    3,804.29/5,703.70 = 2,568.63/x
  3. Step 3: Cross multiply
    3,804.29x = 5,703.70 × 2,568.63
  4. Step 4: Simplify right side
    3,804.29x = 14,650,694.93
  5. Step 5: Solve for x
    x = 14,650,694.93/3,804.29
  6. Step 6: Final answer
    x = 3,851.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.