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Finding the Fourth Proportional to 4,570.29, 6,310.31 and 3,002.94

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Solution

The fourth proportional to 4,570.29, 6,310.31 and 3,002.94 is: 4,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.29 : 6,310.31 = 3,002.94 : x
  2. Step 2: Convert to fraction form
    4,570.29/6,310.31 = 3,002.94/x
  3. Step 3: Cross multiply
    4,570.29x = 6,310.31 × 3,002.94
  4. Step 4: Simplify right side
    4,570.29x = 18,949,467.30
  5. Step 5: Solve for x
    x = 18,949,467.30/4,570.29
  6. Step 6: Final answer
    x = 4,146.23

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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.