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Finding the Fourth Proportional to 5,583.47, 8,373.25 and 1,633.64

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Solution

The fourth proportional to 5,583.47, 8,373.25 and 1,633.64 is: 2,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.47 : 8,373.25 = 1,633.64 : x
  2. Step 2: Convert to fraction form
    5,583.47/8,373.25 = 1,633.64/x
  3. Step 3: Cross multiply
    5,583.47x = 8,373.25 × 1,633.64
  4. Step 4: Simplify right side
    5,583.47x = 13,678,867.96
  5. Step 5: Solve for x
    x = 13,678,867.96/5,583.47
  6. Step 6: Final answer
    x = 2,449.89

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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.