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Finding the Fourth Proportional to 5,486.96, 8,232.28 and 1,739.35

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Solution

The fourth proportional to 5,486.96, 8,232.28 and 1,739.35 is: 2,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.96 : 8,232.28 = 1,739.35 : x
  2. Step 2: Convert to fraction form
    5,486.96/8,232.28 = 1,739.35/x
  3. Step 3: Cross multiply
    5,486.96x = 8,232.28 × 1,739.35
  4. Step 4: Simplify right side
    5,486.96x = 14,318,807.41
  5. Step 5: Solve for x
    x = 14,318,807.41/5,486.96
  6. Step 6: Final answer
    x = 2,609.61

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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.