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Finding the Fourth Proportional to 5,195.61, 7,792.54 and 1,496.98

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Solution

The fourth proportional to 5,195.61, 7,792.54 and 1,496.98 is: 2,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.61 : 7,792.54 = 1,496.98 : x
  2. Step 2: Convert to fraction form
    5,195.61/7,792.54 = 1,496.98/x
  3. Step 3: Cross multiply
    5,195.61x = 7,792.54 × 1,496.98
  4. Step 4: Simplify right side
    5,195.61x = 11,665,282.53
  5. Step 5: Solve for x
    x = 11,665,282.53/5,195.61
  6. Step 6: Final answer
    x = 2,245.22

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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.