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Finding the Fourth Proportional to 3,745.67, 5,167.07 and 3,038.34

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Solution

The fourth proportional to 3,745.67, 5,167.07 and 3,038.34 is: 4,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.67 : 5,167.07 = 3,038.34 : x
  2. Step 2: Convert to fraction form
    3,745.67/5,167.07 = 3,038.34/x
  3. Step 3: Cross multiply
    3,745.67x = 5,167.07 × 3,038.34
  4. Step 4: Simplify right side
    3,745.67x = 15,699,315.46
  5. Step 5: Solve for x
    x = 15,699,315.46/3,745.67
  6. Step 6: Final answer
    x = 4,191.32

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1.5x scale

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.