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Finding the Fourth Proportional to 4,055.40, 6,072.12 and 2,103.50

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Solution

The fourth proportional to 4,055.40, 6,072.12 and 2,103.50 is: 3,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.40 : 6,072.12 = 2,103.50 : x
  2. Step 2: Convert to fraction form
    4,055.40/6,072.12 = 2,103.50/x
  3. Step 3: Cross multiply
    4,055.40x = 6,072.12 × 2,103.50
  4. Step 4: Simplify right side
    4,055.40x = 12,772,719.60
  5. Step 5: Solve for x
    x = 12,772,719.60/4,055.40
  6. Step 6: Final answer
    x = 3,149.56

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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.