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Finding the Fourth Proportional to 4,755.60, 7,133.40 and 3,880.80

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Solution

The fourth proportional to 4,755.60, 7,133.40 and 3,880.80 is: 5,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.60 : 7,133.40 = 3,880.80 : x
  2. Step 2: Convert to fraction form
    4,755.60/7,133.40 = 3,880.80/x
  3. Step 3: Cross multiply
    4,755.60x = 7,133.40 × 3,880.80
  4. Step 4: Simplify right side
    4,755.60x = 27,683,298.72
  5. Step 5: Solve for x
    x = 27,683,298.72/4,755.60
  6. Step 6: Final answer
    x = 5,821.20

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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.