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Finding the Fourth Proportional to 4,313.74, 5,946.69 and 3,050.86

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Solution

The fourth proportional to 4,313.74, 5,946.69 and 3,050.86 is: 4,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.74 : 5,946.69 = 3,050.86 : x
  2. Step 2: Convert to fraction form
    4,313.74/5,946.69 = 3,050.86/x
  3. Step 3: Cross multiply
    4,313.74x = 5,946.69 × 3,050.86
  4. Step 4: Simplify right side
    4,313.74x = 18,142,518.65
  5. Step 5: Solve for x
    x = 18,142,518.65/4,313.74
  6. Step 6: Final answer
    x = 4,205.75

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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.