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Finding the Fourth Proportional to 3,237.30, 4,457.16 and 2,738.88

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Solution

The fourth proportional to 3,237.30, 4,457.16 and 2,738.88 is: 3,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.30 : 4,457.16 = 2,738.88 : x
  2. Step 2: Convert to fraction form
    3,237.30/4,457.16 = 2,738.88/x
  3. Step 3: Cross multiply
    3,237.30x = 4,457.16 × 2,738.88
  4. Step 4: Simplify right side
    3,237.30x = 12,207,626.38
  5. Step 5: Solve for x
    x = 12,207,626.38/3,237.30
  6. Step 6: Final answer
    x = 3,770.93

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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.