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Finding the Fourth Proportional to 5,513.85, 8,270.63 and 1,353.82

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Solution

The fourth proportional to 5,513.85, 8,270.63 and 1,353.82 is: 2,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.85 : 8,270.63 = 1,353.82 : x
  2. Step 2: Convert to fraction form
    5,513.85/8,270.63 = 1,353.82/x
  3. Step 3: Cross multiply
    5,513.85x = 8,270.63 × 1,353.82
  4. Step 4: Simplify right side
    5,513.85x = 11,196,944.31
  5. Step 5: Solve for x
    x = 11,196,944.31/5,513.85
  6. Step 6: Final answer
    x = 2,030.70

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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.