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Finding the Fourth Proportional to 3,830.79, 5,280.46 and 2,709.34

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Solution

The fourth proportional to 3,830.79, 5,280.46 and 2,709.34 is: 3,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.79 : 5,280.46 = 2,709.34 : x
  2. Step 2: Convert to fraction form
    3,830.79/5,280.46 = 2,709.34/x
  3. Step 3: Cross multiply
    3,830.79x = 5,280.46 × 2,709.34
  4. Step 4: Simplify right side
    3,830.79x = 14,306,561.50
  5. Step 5: Solve for x
    x = 14,306,561.50/3,830.79
  6. Step 6: Final answer
    x = 3,734.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.