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Finding the Fourth Proportional to 4,101.41, 6,152.09 and 1,023.41

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Solution

The fourth proportional to 4,101.41, 6,152.09 and 1,023.41 is: 1,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.41 : 6,152.09 = 1,023.41 : x
  2. Step 2: Convert to fraction form
    4,101.41/6,152.09 = 1,023.41/x
  3. Step 3: Cross multiply
    4,101.41x = 6,152.09 × 1,023.41
  4. Step 4: Simplify right side
    4,101.41x = 6,296,120.69
  5. Step 5: Solve for x
    x = 6,296,120.69/4,101.41
  6. Step 6: Final answer
    x = 1,535.11

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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.