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Finding the Fourth Proportional to 5,769.78, 7,962.30 and 3,412.08

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Solution

The fourth proportional to 5,769.78, 7,962.30 and 3,412.08 is: 4,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.78 : 7,962.30 = 3,412.08 : x
  2. Step 2: Convert to fraction form
    5,769.78/7,962.30 = 3,412.08/x
  3. Step 3: Cross multiply
    5,769.78x = 7,962.30 × 3,412.08
  4. Step 4: Simplify right side
    5,769.78x = 27,168,004.58
  5. Step 5: Solve for x
    x = 27,168,004.58/5,769.78
  6. Step 6: Final answer
    x = 4,708.67

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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.