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Finding the Fourth Proportional to 3,876.60, 5,814.90 and 3,430.20

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Solution

The fourth proportional to 3,876.60, 5,814.90 and 3,430.20 is: 5,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.60 : 5,814.90 = 3,430.20 : x
  2. Step 2: Convert to fraction form
    3,876.60/5,814.90 = 3,430.20/x
  3. Step 3: Cross multiply
    3,876.60x = 5,814.90 × 3,430.20
  4. Step 4: Simplify right side
    3,876.60x = 19,946,269.98
  5. Step 5: Solve for x
    x = 19,946,269.98/3,876.60
  6. Step 6: Final answer
    x = 5,145.30

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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.