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Finding the Fourth Proportional to 5,425.40, 7,495.80 and 4,103.48

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Solution

The fourth proportional to 5,425.40, 7,495.80 and 4,103.48 is: 5,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.40 : 7,495.80 = 4,103.48 : x
  2. Step 2: Convert to fraction form
    5,425.40/7,495.80 = 4,103.48/x
  3. Step 3: Cross multiply
    5,425.40x = 7,495.80 × 4,103.48
  4. Step 4: Simplify right side
    5,425.40x = 30,758,865.38
  5. Step 5: Solve for x
    x = 30,758,865.38/5,425.40
  6. Step 6: Final answer
    x = 5,669.42

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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.