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Finding the Fourth Proportional to 5,964.40, 8,946.60 and 5,359.60

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Solution

The fourth proportional to 5,964.40, 8,946.60 and 5,359.60 is: 8,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.40 : 8,946.60 = 5,359.60 : x
  2. Step 2: Convert to fraction form
    5,964.40/8,946.60 = 5,359.60/x
  3. Step 3: Cross multiply
    5,964.40x = 8,946.60 × 5,359.60
  4. Step 4: Simplify right side
    5,964.40x = 47,950,197.36
  5. Step 5: Solve for x
    x = 47,950,197.36/5,964.40
  6. Step 6: Final answer
    x = 8,039.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.