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Finding the Fourth Proportional to 4,302.57, 6,449.70 and 2,353.41

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Solution

The fourth proportional to 4,302.57, 6,449.70 and 2,353.41 is: 3,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.57 : 6,449.70 = 2,353.41 : x
  2. Step 2: Convert to fraction form
    4,302.57/6,449.70 = 2,353.41/x
  3. Step 3: Cross multiply
    4,302.57x = 6,449.70 × 2,353.41
  4. Step 4: Simplify right side
    4,302.57x = 15,178,788.48
  5. Step 5: Solve for x
    x = 15,178,788.48/4,302.57
  6. Step 6: Final answer
    x = 3,527.84

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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.