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Finding the Fourth Proportional to 5,762.85, 8,645.67 and 1,867.26

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Solution

The fourth proportional to 5,762.85, 8,645.67 and 1,867.26 is: 2,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.85 : 8,645.67 = 1,867.26 : x
  2. Step 2: Convert to fraction form
    5,762.85/8,645.67 = 1,867.26/x
  3. Step 3: Cross multiply
    5,762.85x = 8,645.67 × 1,867.26
  4. Step 4: Simplify right side
    5,762.85x = 16,143,713.76
  5. Step 5: Solve for x
    x = 16,143,713.76/5,762.85
  6. Step 6: Final answer
    x = 2,801.34

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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.