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Finding the Fourth Proportional to 5,321.86, 7,344.39 and 2,964.00

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Solution

The fourth proportional to 5,321.86, 7,344.39 and 2,964.00 is: 4,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.86 : 7,344.39 = 2,964.00 : x
  2. Step 2: Convert to fraction form
    5,321.86/7,344.39 = 2,964.00/x
  3. Step 3: Cross multiply
    5,321.86x = 7,344.39 × 2,964.00
  4. Step 4: Simplify right side
    5,321.86x = 21,768,740.71
  5. Step 5: Solve for x
    x = 21,768,740.71/5,321.86
  6. Step 6: Final answer
    x = 4,090.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.