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Finding the Fourth Proportional to 5,632.86, 7,765.92 and 4,620.86

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Solution

The fourth proportional to 5,632.86, 7,765.92 and 4,620.86 is: 6,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.86 : 7,765.92 = 4,620.86 : x
  2. Step 2: Convert to fraction form
    5,632.86/7,765.92 = 4,620.86/x
  3. Step 3: Cross multiply
    5,632.86x = 7,765.92 × 4,620.86
  4. Step 4: Simplify right side
    5,632.86x = 35,885,190.26
  5. Step 5: Solve for x
    x = 35,885,190.26/5,632.86
  6. Step 6: Final answer
    x = 6,370.69

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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.