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Finding the Fourth Proportional to 4,038.60, 6,057.10 and 1,958.60

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Solution

The fourth proportional to 4,038.60, 6,057.10 and 1,958.60 is: 2,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.60 : 6,057.10 = 1,958.60 : x
  2. Step 2: Convert to fraction form
    4,038.60/6,057.10 = 1,958.60/x
  3. Step 3: Cross multiply
    4,038.60x = 6,057.10 × 1,958.60
  4. Step 4: Simplify right side
    4,038.60x = 11,863,436.06
  5. Step 5: Solve for x
    x = 11,863,436.06/4,038.60
  6. Step 6: Final answer
    x = 2,937.51

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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.