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Finding the Fourth Proportional to 4,556.40, 6,835.86 and 1,783.86

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Solution

The fourth proportional to 4,556.40, 6,835.86 and 1,783.86 is: 2,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.40 : 6,835.86 = 1,783.86 : x
  2. Step 2: Convert to fraction form
    4,556.40/6,835.86 = 1,783.86/x
  3. Step 3: Cross multiply
    4,556.40x = 6,835.86 × 1,783.86
  4. Step 4: Simplify right side
    4,556.40x = 12,194,217.22
  5. Step 5: Solve for x
    x = 12,194,217.22/4,556.40
  6. Step 6: Final answer
    x = 2,676.28

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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.