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Finding the Fourth Proportional to 3,765.57, 5,648.86 and 1,393.33

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Solution

The fourth proportional to 3,765.57, 5,648.86 and 1,393.33 is: 2,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.57 : 5,648.86 = 1,393.33 : x
  2. Step 2: Convert to fraction form
    3,765.57/5,648.86 = 1,393.33/x
  3. Step 3: Cross multiply
    3,765.57x = 5,648.86 × 1,393.33
  4. Step 4: Simplify right side
    3,765.57x = 7,870,712.51
  5. Step 5: Solve for x
    x = 7,870,712.51/3,765.57
  6. Step 6: Final answer
    x = 2,090.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.