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Finding the Fourth Proportional to 4,259.14, 5,877.22 and 3,945.68

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Solution

The fourth proportional to 4,259.14, 5,877.22 and 3,945.68 is: 5,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.14 : 5,877.22 = 3,945.68 : x
  2. Step 2: Convert to fraction form
    4,259.14/5,877.22 = 3,945.68/x
  3. Step 3: Cross multiply
    4,259.14x = 5,877.22 × 3,945.68
  4. Step 4: Simplify right side
    4,259.14x = 23,189,629.41
  5. Step 5: Solve for x
    x = 23,189,629.41/4,259.14
  6. Step 6: Final answer
    x = 5,444.67

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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.