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Finding the Fourth Proportional to 6,421.73, 8,858.70 and 4,187.34

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Solution

The fourth proportional to 6,421.73, 8,858.70 and 4,187.34 is: 5,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.73 : 8,858.70 = 4,187.34 : x
  2. Step 2: Convert to fraction form
    6,421.73/8,858.70 = 4,187.34/x
  3. Step 3: Cross multiply
    6,421.73x = 8,858.70 × 4,187.34
  4. Step 4: Simplify right side
    6,421.73x = 37,094,388.86
  5. Step 5: Solve for x
    x = 37,094,388.86/6,421.73
  6. Step 6: Final answer
    x = 5,776.39

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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.