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Finding the Fourth Proportional to 4,231.85, 6,347.77 and 4,056.89

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Solution

The fourth proportional to 4,231.85, 6,347.77 and 4,056.89 is: 6,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.85 : 6,347.77 = 4,056.89 : x
  2. Step 2: Convert to fraction form
    4,231.85/6,347.77 = 4,056.89/x
  3. Step 3: Cross multiply
    4,231.85x = 6,347.77 × 4,056.89
  4. Step 4: Simplify right side
    4,231.85x = 25,752,162.75
  5. Step 5: Solve for x
    x = 25,752,162.75/4,231.85
  6. Step 6: Final answer
    x = 6,085.33

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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.