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Finding the Fourth Proportional to 4,647.89, 6,971.83 and 2,052.65

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Solution

The fourth proportional to 4,647.89, 6,971.83 and 2,052.65 is: 3,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.89 : 6,971.83 = 2,052.65 : x
  2. Step 2: Convert to fraction form
    4,647.89/6,971.83 = 2,052.65/x
  3. Step 3: Cross multiply
    4,647.89x = 6,971.83 × 2,052.65
  4. Step 4: Simplify right side
    4,647.89x = 14,310,686.86
  5. Step 5: Solve for x
    x = 14,310,686.86/4,647.89
  6. Step 6: Final answer
    x = 3,078.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.