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Finding the Fourth Proportional to 5,965.42, 8,931.49 and 3,880.21

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Solution

The fourth proportional to 5,965.42, 8,931.49 and 3,880.21 is: 5,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.42 : 8,931.49 = 3,880.21 : x
  2. Step 2: Convert to fraction form
    5,965.42/8,931.49 = 3,880.21/x
  3. Step 3: Cross multiply
    5,965.42x = 8,931.49 × 3,880.21
  4. Step 4: Simplify right side
    5,965.42x = 34,656,056.81
  5. Step 5: Solve for x
    x = 34,656,056.81/5,965.42
  6. Step 6: Final answer
    x = 5,809.49

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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.