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Finding the Fourth Proportional to 4,380.84, 6,571.26 and 1,783.08

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Solution

The fourth proportional to 4,380.84, 6,571.26 and 1,783.08 is: 2,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.84 : 6,571.26 = 1,783.08 : x
  2. Step 2: Convert to fraction form
    4,380.84/6,571.26 = 1,783.08/x
  3. Step 3: Cross multiply
    4,380.84x = 6,571.26 × 1,783.08
  4. Step 4: Simplify right side
    4,380.84x = 11,717,082.28
  5. Step 5: Solve for x
    x = 11,717,082.28/4,380.84
  6. Step 6: Final answer
    x = 2,674.62

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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.