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Finding the Fourth Proportional to 4,804.72, 7,208.16 and 1,884.96

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Solution

The fourth proportional to 4,804.72, 7,208.16 and 1,884.96 is: 2,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.72 : 7,208.16 = 1,884.96 : x
  2. Step 2: Convert to fraction form
    4,804.72/7,208.16 = 1,884.96/x
  3. Step 3: Cross multiply
    4,804.72x = 7,208.16 × 1,884.96
  4. Step 4: Simplify right side
    4,804.72x = 13,587,093.27
  5. Step 5: Solve for x
    x = 13,587,093.27/4,804.72
  6. Step 6: Final answer
    x = 2,827.86

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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.