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Finding the Fourth Proportional to 5,765.84, 7,958.46 and 3,409.28

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Solution

The fourth proportional to 5,765.84, 7,958.46 and 3,409.28 is: 4,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.84 : 7,958.46 = 3,409.28 : x
  2. Step 2: Convert to fraction form
    5,765.84/7,958.46 = 3,409.28/x
  3. Step 3: Cross multiply
    5,765.84x = 7,958.46 × 3,409.28
  4. Step 4: Simplify right side
    5,765.84x = 27,132,618.51
  5. Step 5: Solve for x
    x = 27,132,618.51/5,765.84
  6. Step 6: Final answer
    x = 4,705.75

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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.