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Finding the Fourth Proportional to 3,416.73, 5,124.52 and 951.80

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Solution

The fourth proportional to 3,416.73, 5,124.52 and 951.80 is: 1,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.73 : 5,124.52 = 951.80 : x
  2. Step 2: Convert to fraction form
    3,416.73/5,124.52 = 951.80/x
  3. Step 3: Cross multiply
    3,416.73x = 5,124.52 × 951.80
  4. Step 4: Simplify right side
    3,416.73x = 4,877,518.14
  5. Step 5: Solve for x
    x = 4,877,518.14/3,416.73
  6. Step 6: Final answer
    x = 1,427.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.