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Finding the Fourth Proportional to 5,455.81, 7,523.05 and 3,684.34

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Solution

The fourth proportional to 5,455.81, 7,523.05 and 3,684.34 is: 5,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.81 : 7,523.05 = 3,684.34 : x
  2. Step 2: Convert to fraction form
    5,455.81/7,523.05 = 3,684.34/x
  3. Step 3: Cross multiply
    5,455.81x = 7,523.05 × 3,684.34
  4. Step 4: Simplify right side
    5,455.81x = 27,717,449.18
  5. Step 5: Solve for x
    x = 27,717,449.18/5,455.81
  6. Step 6: Final answer
    x = 5,080.36

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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.