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Finding the Fourth Proportional to 3,248, 4,874.16 and 1,196

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Solution

The fourth proportional to 3,248, 4,874.16 and 1,196 is: 1,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248 : 4,874.16 = 1,196 : x
  2. Step 2: Convert to fraction form
    3,248/4,874.16 = 1,196/x
  3. Step 3: Cross multiply
    3,248x = 4,874.16 × 1,196
  4. Step 4: Simplify right side
    3,248x = 5,829,495.36
  5. Step 5: Solve for x
    x = 5,829,495.36/3,248
  6. Step 6: Final answer
    x = 1,794.80

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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.