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Finding the Fourth Proportional to 5,783.24, 8,667.56 and 4,820.96

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Solution

The fourth proportional to 5,783.24, 8,667.56 and 4,820.96 is: 7,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.24 : 8,667.56 = 4,820.96 : x
  2. Step 2: Convert to fraction form
    5,783.24/8,667.56 = 4,820.96/x
  3. Step 3: Cross multiply
    5,783.24x = 8,667.56 × 4,820.96
  4. Step 4: Simplify right side
    5,783.24x = 41,785,993.78
  5. Step 5: Solve for x
    x = 41,785,993.78/5,783.24
  6. Step 6: Final answer
    x = 7,225.36

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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.