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Finding the Fourth Proportional to 3,302.24, 4,953.29 and 837

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Solution

The fourth proportional to 3,302.24, 4,953.29 and 837 is: 1,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.24 : 4,953.29 = 837 : x
  2. Step 2: Convert to fraction form
    3,302.24/4,953.29 = 837/x
  3. Step 3: Cross multiply
    3,302.24x = 4,953.29 × 837
  4. Step 4: Simplify right side
    3,302.24x = 4,145,899.55
  5. Step 5: Solve for x
    x = 4,145,899.55/3,302.24
  6. Step 6: Final answer
    x = 1,255.48

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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.