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Finding the Fourth Proportional to 4,407.58, 6,609.80 and 1,286.77

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Solution

The fourth proportional to 4,407.58, 6,609.80 and 1,286.77 is: 1,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.58 : 6,609.80 = 1,286.77 : x
  2. Step 2: Convert to fraction form
    4,407.58/6,609.80 = 1,286.77/x
  3. Step 3: Cross multiply
    4,407.58x = 6,609.80 × 1,286.77
  4. Step 4: Simplify right side
    4,407.58x = 8,505,292.35
  5. Step 5: Solve for x
    x = 8,505,292.35/4,407.58
  6. Step 6: Final answer
    x = 1,929.70

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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.