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Finding the Fourth Proportional to 4,034.72, 6,030.44 and 3,638.49

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Solution

The fourth proportional to 4,034.72, 6,030.44 and 3,638.49 is: 5,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.72 : 6,030.44 = 3,638.49 : x
  2. Step 2: Convert to fraction form
    4,034.72/6,030.44 = 3,638.49/x
  3. Step 3: Cross multiply
    4,034.72x = 6,030.44 × 3,638.49
  4. Step 4: Simplify right side
    4,034.72x = 21,941,695.64
  5. Step 5: Solve for x
    x = 21,941,695.64/4,034.72
  6. Step 6: Final answer
    x = 5,438.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.