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Finding the Fourth Proportional to 6,402.75, 8,835.89 and 3,918.75

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Solution

The fourth proportional to 6,402.75, 8,835.89 and 3,918.75 is: 5,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.75 : 8,835.89 = 3,918.75 : x
  2. Step 2: Convert to fraction form
    6,402.75/8,835.89 = 3,918.75/x
  3. Step 3: Cross multiply
    6,402.75x = 8,835.89 × 3,918.75
  4. Step 4: Simplify right side
    6,402.75x = 34,625,624.34
  5. Step 5: Solve for x
    x = 34,625,624.34/6,402.75
  6. Step 6: Final answer
    x = 5,407.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.