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Finding the Fourth Proportional to 4,782.83, 7,174.68 and 1,861.35

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Solution

The fourth proportional to 4,782.83, 7,174.68 and 1,861.35 is: 2,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.83 : 7,174.68 = 1,861.35 : x
  2. Step 2: Convert to fraction form
    4,782.83/7,174.68 = 1,861.35/x
  3. Step 3: Cross multiply
    4,782.83x = 7,174.68 × 1,861.35
  4. Step 4: Simplify right side
    4,782.83x = 13,354,590.62
  5. Step 5: Solve for x
    x = 13,354,590.62/4,782.83
  6. Step 6: Final answer
    x = 2,792.19

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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.