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Finding the Fourth Proportional to 5,196.50, 7,792.52 and 1,497.83

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Solution

The fourth proportional to 5,196.50, 7,792.52 and 1,497.83 is: 2,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.50 : 7,792.52 = 1,497.83 : x
  2. Step 2: Convert to fraction form
    5,196.50/7,792.52 = 1,497.83/x
  3. Step 3: Cross multiply
    5,196.50x = 7,792.52 × 1,497.83
  4. Step 4: Simplify right side
    5,196.50x = 11,671,882.22
  5. Step 5: Solve for x
    x = 11,671,882.22/5,196.50
  6. Step 6: Final answer
    x = 2,246.11

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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.