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Finding the Fourth Proportional to 4,200.71, 5,797.61 and 2,523.04

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Solution

The fourth proportional to 4,200.71, 5,797.61 and 2,523.04 is: 3,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.71 : 5,797.61 = 2,523.04 : x
  2. Step 2: Convert to fraction form
    4,200.71/5,797.61 = 2,523.04/x
  3. Step 3: Cross multiply
    4,200.71x = 5,797.61 × 2,523.04
  4. Step 4: Simplify right side
    4,200.71x = 14,627,586.78
  5. Step 5: Solve for x
    x = 14,627,586.78/4,200.71
  6. Step 6: Final answer
    x = 3,482.17

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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.