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Finding the Fourth Proportional to 3,802.92, 5,240.76 and 2,738.80

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Solution

The fourth proportional to 3,802.92, 5,240.76 and 2,738.80 is: 3,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.92 : 5,240.76 = 2,738.80 : x
  2. Step 2: Convert to fraction form
    3,802.92/5,240.76 = 2,738.80/x
  3. Step 3: Cross multiply
    3,802.92x = 5,240.76 × 2,738.80
  4. Step 4: Simplify right side
    3,802.92x = 14,353,389.77
  5. Step 5: Solve for x
    x = 14,353,389.77/3,802.92
  6. Step 6: Final answer
    x = 3,774.31

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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.