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Finding the Fourth Proportional to 5,148.38, 7,107.53 and 4,026.94

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Solution

The fourth proportional to 5,148.38, 7,107.53 and 4,026.94 is: 5,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.38 : 7,107.53 = 4,026.94 : x
  2. Step 2: Convert to fraction form
    5,148.38/7,107.53 = 4,026.94/x
  3. Step 3: Cross multiply
    5,148.38x = 7,107.53 × 4,026.94
  4. Step 4: Simplify right side
    5,148.38x = 28,621,558.95
  5. Step 5: Solve for x
    x = 28,621,558.95/5,148.38
  6. Step 6: Final answer
    x = 5,559.33

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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.