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Finding the Fourth Proportional to 4,457, 6,152.28 and 3,063.80

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Solution

The fourth proportional to 4,457, 6,152.28 and 3,063.80 is: 4,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457 : 6,152.28 = 3,063.80 : x
  2. Step 2: Convert to fraction form
    4,457/6,152.28 = 3,063.80/x
  3. Step 3: Cross multiply
    4,457x = 6,152.28 × 3,063.80
  4. Step 4: Simplify right side
    4,457x = 18,849,355.46
  5. Step 5: Solve for x
    x = 18,849,355.46/4,457
  6. Step 6: Final answer
    x = 4,229.16

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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.