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Finding the Fourth Proportional to 3,880.23, 5,820.27 and 958.53

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Solution

The fourth proportional to 3,880.23, 5,820.27 and 958.53 is: 1,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.23 : 5,820.27 = 958.53 : x
  2. Step 2: Convert to fraction form
    3,880.23/5,820.27 = 958.53/x
  3. Step 3: Cross multiply
    3,880.23x = 5,820.27 × 958.53
  4. Step 4: Simplify right side
    3,880.23x = 5,578,903.40
  5. Step 5: Solve for x
    x = 5,578,903.40/3,880.23
  6. Step 6: Final answer
    x = 1,437.78

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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.