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Finding the Fourth Proportional to 4,745.92, 7,109.31 and 3,973.64

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Solution

The fourth proportional to 4,745.92, 7,109.31 and 3,973.64 is: 5,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.92 : 7,109.31 = 3,973.64 : x
  2. Step 2: Convert to fraction form
    4,745.92/7,109.31 = 3,973.64/x
  3. Step 3: Cross multiply
    4,745.92x = 7,109.31 × 3,973.64
  4. Step 4: Simplify right side
    4,745.92x = 28,249,803.04
  5. Step 5: Solve for x
    x = 28,249,803.04/4,745.92
  6. Step 6: Final answer
    x = 5,952.44

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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.