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Finding the Fourth Proportional to 5,742.96, 7,928.30 and 3,864.42

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Solution

The fourth proportional to 5,742.96, 7,928.30 and 3,864.42 is: 5,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.96 : 7,928.30 = 3,864.42 : x
  2. Step 2: Convert to fraction form
    5,742.96/7,928.30 = 3,864.42/x
  3. Step 3: Cross multiply
    5,742.96x = 7,928.30 × 3,864.42
  4. Step 4: Simplify right side
    5,742.96x = 30,638,281.09
  5. Step 5: Solve for x
    x = 30,638,281.09/5,742.96
  6. Step 6: Final answer
    x = 5,334.93

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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.