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Finding the Fourth Proportional to 4,447.12, 6,138.12 and 3,030.16

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Solution

The fourth proportional to 4,447.12, 6,138.12 and 3,030.16 is: 4,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.12 : 6,138.12 = 3,030.16 : x
  2. Step 2: Convert to fraction form
    4,447.12/6,138.12 = 3,030.16/x
  3. Step 3: Cross multiply
    4,447.12x = 6,138.12 × 3,030.16
  4. Step 4: Simplify right side
    4,447.12x = 18,599,485.70
  5. Step 5: Solve for x
    x = 18,599,485.70/4,447.12
  6. Step 6: Final answer
    x = 4,182.37

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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.