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Finding the Fourth Proportional to 5,667.38, 8,501.54 and 1,563.38

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Solution

The fourth proportional to 5,667.38, 8,501.54 and 1,563.38 is: 2,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.38 : 8,501.54 = 1,563.38 : x
  2. Step 2: Convert to fraction form
    5,667.38/8,501.54 = 1,563.38/x
  3. Step 3: Cross multiply
    5,667.38x = 8,501.54 × 1,563.38
  4. Step 4: Simplify right side
    5,667.38x = 13,291,099.01
  5. Step 5: Solve for x
    x = 13,291,099.01/5,667.38
  6. Step 6: Final answer
    x = 2,345.19

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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.