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Finding the Fourth Proportional to 6,402.50, 8,835.45 and 3,458.50

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Solution

The fourth proportional to 6,402.50, 8,835.45 and 3,458.50 is: 4,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.50 : 8,835.45 = 3,458.50 : x
  2. Step 2: Convert to fraction form
    6,402.50/8,835.45 = 3,458.50/x
  3. Step 3: Cross multiply
    6,402.50x = 8,835.45 × 3,458.50
  4. Step 4: Simplify right side
    6,402.50x = 30,557,403.83
  5. Step 5: Solve for x
    x = 30,557,403.83/6,402.50
  6. Step 6: Final answer
    x = 4,772.73

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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.