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Finding the Fourth Proportional to 5,842.88, 8,764.33 and 1,460.33

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Solution

The fourth proportional to 5,842.88, 8,764.33 and 1,460.33 is: 2,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.88 : 8,764.33 = 1,460.33 : x
  2. Step 2: Convert to fraction form
    5,842.88/8,764.33 = 1,460.33/x
  3. Step 3: Cross multiply
    5,842.88x = 8,764.33 × 1,460.33
  4. Step 4: Simplify right side
    5,842.88x = 12,798,814.03
  5. Step 5: Solve for x
    x = 12,798,814.03/5,842.88
  6. Step 6: Final answer
    x = 2,190.50

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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.