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Finding the Fourth Proportional to 5,842.78, 8,764.12 and 1,460.22

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Solution

The fourth proportional to 5,842.78, 8,764.12 and 1,460.22 is: 2,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.78 : 8,764.12 = 1,460.22 : x
  2. Step 2: Convert to fraction form
    5,842.78/8,764.12 = 1,460.22/x
  3. Step 3: Cross multiply
    5,842.78x = 8,764.12 × 1,460.22
  4. Step 4: Simplify right side
    5,842.78x = 12,797,543.31
  5. Step 5: Solve for x
    x = 12,797,543.31/5,842.78
  6. Step 6: Final answer
    x = 2,190.32

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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.