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Finding the Fourth Proportional to 5,745.96, 8,605.98 and 4,022.28

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Solution

The fourth proportional to 5,745.96, 8,605.98 and 4,022.28 is: 6,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.96 : 8,605.98 = 4,022.28 : x
  2. Step 2: Convert to fraction form
    5,745.96/8,605.98 = 4,022.28/x
  3. Step 3: Cross multiply
    5,745.96x = 8,605.98 × 4,022.28
  4. Step 4: Simplify right side
    5,745.96x = 34,615,661.23
  5. Step 5: Solve for x
    x = 34,615,661.23/5,745.96
  6. Step 6: Final answer
    x = 6,024.35

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1.5x scale

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.