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Finding the Fourth Proportional to 5,942.40, 8,913.60 and 5,827.20

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Solution

The fourth proportional to 5,942.40, 8,913.60 and 5,827.20 is: 8,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.40 : 8,913.60 = 5,827.20 : x
  2. Step 2: Convert to fraction form
    5,942.40/8,913.60 = 5,827.20/x
  3. Step 3: Cross multiply
    5,942.40x = 8,913.60 × 5,827.20
  4. Step 4: Simplify right side
    5,942.40x = 51,941,329.92
  5. Step 5: Solve for x
    x = 51,941,329.92/5,942.40
  6. Step 6: Final answer
    x = 8,740.80

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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.