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Finding the Fourth Proportional to 5,783.49, 8,667.83 and 5,003.46

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Solution

The fourth proportional to 5,783.49, 8,667.83 and 5,003.46 is: 7,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.49 : 8,667.83 = 5,003.46 : x
  2. Step 2: Convert to fraction form
    5,783.49/8,667.83 = 5,003.46/x
  3. Step 3: Cross multiply
    5,783.49x = 8,667.83 × 5,003.46
  4. Step 4: Simplify right side
    5,783.49x = 43,369,115.67
  5. Step 5: Solve for x
    x = 43,369,115.67/5,783.49
  6. Step 6: Final answer
    x = 7,498.78

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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.