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Finding the Fourth Proportional to 4,158.44, 6,197.13 and 4,038.49

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Solution

The fourth proportional to 4,158.44, 6,197.13 and 4,038.49 is: 6,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.44 : 6,197.13 = 4,038.49 : x
  2. Step 2: Convert to fraction form
    4,158.44/6,197.13 = 4,038.49/x
  3. Step 3: Cross multiply
    4,158.44x = 6,197.13 × 4,038.49
  4. Step 4: Simplify right side
    4,158.44x = 25,027,047.53
  5. Step 5: Solve for x
    x = 25,027,047.53/4,158.44
  6. Step 6: Final answer
    x = 6,018.37

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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.