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Finding the Fourth Proportional to 4,626.24, 6,382.64 and 2,858.24

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Solution

The fourth proportional to 4,626.24, 6,382.64 and 2,858.24 is: 3,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.24 : 6,382.64 = 2,858.24 : x
  2. Step 2: Convert to fraction form
    4,626.24/6,382.64 = 2,858.24/x
  3. Step 3: Cross multiply
    4,626.24x = 6,382.64 × 2,858.24
  4. Step 4: Simplify right side
    4,626.24x = 18,243,116.95
  5. Step 5: Solve for x
    x = 18,243,116.95/4,626.24
  6. Step 6: Final answer
    x = 3,943.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.