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Finding the Fourth Proportional to 5,564.01, 7,678 and 3,173.65

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Solution

The fourth proportional to 5,564.01, 7,678 and 3,173.65 is: 4,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.01 : 7,678 = 3,173.65 : x
  2. Step 2: Convert to fraction form
    5,564.01/7,678 = 3,173.65/x
  3. Step 3: Cross multiply
    5,564.01x = 7,678 × 3,173.65
  4. Step 4: Simplify right side
    5,564.01x = 24,367,284.70
  5. Step 5: Solve for x
    x = 24,367,284.70/5,564.01
  6. Step 6: Final answer
    x = 4,379.45

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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.