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Finding the Fourth Proportional to 6,402.75, 8,835.80 and 3,458.75

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Solution

The fourth proportional to 6,402.75, 8,835.80 and 3,458.75 is: 4,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.75 : 8,835.80 = 3,458.75 : x
  2. Step 2: Convert to fraction form
    6,402.75/8,835.80 = 3,458.75/x
  3. Step 3: Cross multiply
    6,402.75x = 8,835.80 × 3,458.75
  4. Step 4: Simplify right side
    6,402.75x = 30,560,823.25
  5. Step 5: Solve for x
    x = 30,560,823.25/6,402.75
  6. Step 6: Final answer
    x = 4,773.08

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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.