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Finding the Fourth Proportional to 5,751.42, 8,615.79 and 5,346.42

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Solution

The fourth proportional to 5,751.42, 8,615.79 and 5,346.42 is: 8,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.42 : 8,615.79 = 5,346.42 : x
  2. Step 2: Convert to fraction form
    5,751.42/8,615.79 = 5,346.42/x
  3. Step 3: Cross multiply
    5,751.42x = 8,615.79 × 5,346.42
  4. Step 4: Simplify right side
    5,751.42x = 46,063,631.97
  5. Step 5: Solve for x
    x = 46,063,631.97/5,751.42
  6. Step 6: Final answer
    x = 8,009.09

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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.