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Finding the Fourth Proportional to 4,819, 7,225.50 and 1,893.92

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Solution

The fourth proportional to 4,819, 7,225.50 and 1,893.92 is: 2,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819 : 7,225.50 = 1,893.92 : x
  2. Step 2: Convert to fraction form
    4,819/7,225.50 = 1,893.92/x
  3. Step 3: Cross multiply
    4,819x = 7,225.50 × 1,893.92
  4. Step 4: Simplify right side
    4,819x = 13,684,518.96
  5. Step 5: Solve for x
    x = 13,684,518.96/4,819
  6. Step 6: Final answer
    x = 2,839.70

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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.