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Finding the Fourth Proportional to 5,274, 7,910.94 and 4,953.24

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Solution

The fourth proportional to 5,274, 7,910.94 and 4,953.24 is: 7,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274 : 7,910.94 = 4,953.24 : x
  2. Step 2: Convert to fraction form
    5,274/7,910.94 = 4,953.24/x
  3. Step 3: Cross multiply
    5,274x = 7,910.94 × 4,953.24
  4. Step 4: Simplify right side
    5,274x = 39,184,784.45
  5. Step 5: Solve for x
    x = 39,184,784.45/5,274
  6. Step 6: Final answer
    x = 7,429.80

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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.