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Finding the Fourth Proportional to 6,436.87, 8,885.60 and 4,200.66

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Solution

The fourth proportional to 6,436.87, 8,885.60 and 4,200.66 is: 5,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.87 : 8,885.60 = 4,200.66 : x
  2. Step 2: Convert to fraction form
    6,436.87/8,885.60 = 4,200.66/x
  3. Step 3: Cross multiply
    6,436.87x = 8,885.60 × 4,200.66
  4. Step 4: Simplify right side
    6,436.87x = 37,325,379.25
  5. Step 5: Solve for x
    x = 37,325,379.25/6,436.87
  6. Step 6: Final answer
    x = 5,798.69

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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.