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Finding the Fourth Proportional to 5,673.96, 8,512.80 and 4,853.84

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Solution

The fourth proportional to 5,673.96, 8,512.80 and 4,853.84 is: 7,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.96 : 8,512.80 = 4,853.84 : x
  2. Step 2: Convert to fraction form
    5,673.96/8,512.80 = 4,853.84/x
  3. Step 3: Cross multiply
    5,673.96x = 8,512.80 × 4,853.84
  4. Step 4: Simplify right side
    5,673.96x = 41,319,769.15
  5. Step 5: Solve for x
    x = 41,319,769.15/5,673.96
  6. Step 6: Final answer
    x = 7,282.35

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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.