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Finding the Fourth Proportional to 5,674.44, 8,502.06 and 3,478.59

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Solution

The fourth proportional to 5,674.44, 8,502.06 and 3,478.59 is: 5,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.44 : 8,502.06 = 3,478.59 : x
  2. Step 2: Convert to fraction form
    5,674.44/8,502.06 = 3,478.59/x
  3. Step 3: Cross multiply
    5,674.44x = 8,502.06 × 3,478.59
  4. Step 4: Simplify right side
    5,674.44x = 29,575,180.90
  5. Step 5: Solve for x
    x = 29,575,180.90/5,674.44
  6. Step 6: Final answer
    x = 5,212.00

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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.