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Finding the Fourth Proportional to 4,985.82, 6,889.14 and 4,321.62

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Solution

The fourth proportional to 4,985.82, 6,889.14 and 4,321.62 is: 5,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.82 : 6,889.14 = 4,321.62 : x
  2. Step 2: Convert to fraction form
    4,985.82/6,889.14 = 4,321.62/x
  3. Step 3: Cross multiply
    4,985.82x = 6,889.14 × 4,321.62
  4. Step 4: Simplify right side
    4,985.82x = 29,772,245.21
  5. Step 5: Solve for x
    x = 29,772,245.21/4,985.82
  6. Step 6: Final answer
    x = 5,971.38

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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.