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Finding the Fourth Proportional to 3,870.96, 5,806.53 and 949.29

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Solution

The fourth proportional to 3,870.96, 5,806.53 and 949.29 is: 1,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.96 : 5,806.53 = 949.29 : x
  2. Step 2: Convert to fraction form
    3,870.96/5,806.53 = 949.29/x
  3. Step 3: Cross multiply
    3,870.96x = 5,806.53 × 949.29
  4. Step 4: Simplify right side
    3,870.96x = 5,512,080.86
  5. Step 5: Solve for x
    x = 5,512,080.86/3,870.96
  6. Step 6: Final answer
    x = 1,423.96

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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.