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Finding the Fourth Proportional to 5,496.96, 8,239.68 and 4,203.84

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Solution

The fourth proportional to 5,496.96, 8,239.68 and 4,203.84 is: 6,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.96 : 8,239.68 = 4,203.84 : x
  2. Step 2: Convert to fraction form
    5,496.96/8,239.68 = 4,203.84/x
  3. Step 3: Cross multiply
    5,496.96x = 8,239.68 × 4,203.84
  4. Step 4: Simplify right side
    5,496.96x = 34,638,296.37
  5. Step 5: Solve for x
    x = 34,638,296.37/5,496.96
  6. Step 6: Final answer
    x = 6,301.35

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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.