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Finding the Fourth Proportional to 3,777.80, 5,670.29 and 2,319.80

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Solution

The fourth proportional to 3,777.80, 5,670.29 and 2,319.80 is: 3,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.80 : 5,670.29 = 2,319.80 : x
  2. Step 2: Convert to fraction form
    3,777.80/5,670.29 = 2,319.80/x
  3. Step 3: Cross multiply
    3,777.80x = 5,670.29 × 2,319.80
  4. Step 4: Simplify right side
    3,777.80x = 13,153,916.19
  5. Step 5: Solve for x
    x = 13,153,916.19/3,777.80
  6. Step 6: Final answer
    x = 3,481.90

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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.