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Finding the Fourth Proportional to 3,495.72, 4,824 and 1,923.84

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Solution

The fourth proportional to 3,495.72, 4,824 and 1,923.84 is: 2,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.72 : 4,824 = 1,923.84 : x
  2. Step 2: Convert to fraction form
    3,495.72/4,824 = 1,923.84/x
  3. Step 3: Cross multiply
    3,495.72x = 4,824 × 1,923.84
  4. Step 4: Simplify right side
    3,495.72x = 9,280,604.16
  5. Step 5: Solve for x
    x = 9,280,604.16/3,495.72
  6. Step 6: Final answer
    x = 2,654.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.