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Finding the Fourth Proportional to 3,657.92, 5,048.75 and 2,242.77

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Solution

The fourth proportional to 3,657.92, 5,048.75 and 2,242.77 is: 3,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.92 : 5,048.75 = 2,242.77 : x
  2. Step 2: Convert to fraction form
    3,657.92/5,048.75 = 2,242.77/x
  3. Step 3: Cross multiply
    3,657.92x = 5,048.75 × 2,242.77
  4. Step 4: Simplify right side
    3,657.92x = 11,323,173.82
  5. Step 5: Solve for x
    x = 11,323,173.82/3,657.92
  6. Step 6: Final answer
    x = 3,095.53

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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.