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Finding the Fourth Proportional to 3,614.78, 5,422.53 and 982.34

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Solution

The fourth proportional to 3,614.78, 5,422.53 and 982.34 is: 1,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.78 : 5,422.53 = 982.34 : x
  2. Step 2: Convert to fraction form
    3,614.78/5,422.53 = 982.34/x
  3. Step 3: Cross multiply
    3,614.78x = 5,422.53 × 982.34
  4. Step 4: Simplify right side
    3,614.78x = 5,326,741.01
  5. Step 5: Solve for x
    x = 5,326,741.01/3,614.78
  6. Step 6: Final answer
    x = 1,473.60

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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.