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Finding the Fourth Proportional to 5,478.98, 7,558.15 and 4,150.38

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Solution

The fourth proportional to 5,478.98, 7,558.15 and 4,150.38 is: 5,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.98 : 7,558.15 = 4,150.38 : x
  2. Step 2: Convert to fraction form
    5,478.98/7,558.15 = 4,150.38/x
  3. Step 3: Cross multiply
    5,478.98x = 7,558.15 × 4,150.38
  4. Step 4: Simplify right side
    5,478.98x = 31,369,194.60
  5. Step 5: Solve for x
    x = 31,369,194.60/5,478.98
  6. Step 6: Final answer
    x = 5,725.37

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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.