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Finding the Fourth Proportional to 5,607.81, 8,412.80 and 2,145.33

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Solution

The fourth proportional to 5,607.81, 8,412.80 and 2,145.33 is: 3,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.81 : 8,412.80 = 2,145.33 : x
  2. Step 2: Convert to fraction form
    5,607.81/8,412.80 = 2,145.33/x
  3. Step 3: Cross multiply
    5,607.81x = 8,412.80 × 2,145.33
  4. Step 4: Simplify right side
    5,607.81x = 18,048,221.50
  5. Step 5: Solve for x
    x = 18,048,221.50/5,607.81
  6. Step 6: Final answer
    x = 3,218.41

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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.