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Finding the Fourth Proportional to 5,712.48, 8,567.22 and 1,964.22

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Solution

The fourth proportional to 5,712.48, 8,567.22 and 1,964.22 is: 2,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.48 : 8,567.22 = 1,964.22 : x
  2. Step 2: Convert to fraction form
    5,712.48/8,567.22 = 1,964.22/x
  3. Step 3: Cross multiply
    5,712.48x = 8,567.22 × 1,964.22
  4. Step 4: Simplify right side
    5,712.48x = 16,827,904.87
  5. Step 5: Solve for x
    x = 16,827,904.87/5,712.48
  6. Step 6: Final answer
    x = 2,945.81

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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.