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Finding the Fourth Proportional to 4,457, 6,150.68 and 2,467.70

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Solution

The fourth proportional to 4,457, 6,150.68 and 2,467.70 is: 3,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457 : 6,150.68 = 2,467.70 : x
  2. Step 2: Convert to fraction form
    4,457/6,150.68 = 2,467.70/x
  3. Step 3: Cross multiply
    4,457x = 6,150.68 × 2,467.70
  4. Step 4: Simplify right side
    4,457x = 15,178,033.04
  5. Step 5: Solve for x
    x = 15,178,033.04/4,457
  6. Step 6: Final answer
    x = 3,405.44

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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.