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Finding the Fourth Proportional to 4,834, 7,251 and 1,756.72

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Solution

The fourth proportional to 4,834, 7,251 and 1,756.72 is: 2,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834 : 7,251 = 1,756.72 : x
  2. Step 2: Convert to fraction form
    4,834/7,251 = 1,756.72/x
  3. Step 3: Cross multiply
    4,834x = 7,251 × 1,756.72
  4. Step 4: Simplify right side
    4,834x = 12,737,976.72
  5. Step 5: Solve for x
    x = 12,737,976.72/4,834
  6. Step 6: Final answer
    x = 2,635.08

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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.