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Finding the Fourth Proportional to 5,609.30, 8,347.73 and 5,422.43

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Solution

The fourth proportional to 5,609.30, 8,347.73 and 5,422.43 is: 8,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.30 : 8,347.73 = 5,422.43 : x
  2. Step 2: Convert to fraction form
    5,609.30/8,347.73 = 5,422.43/x
  3. Step 3: Cross multiply
    5,609.30x = 8,347.73 × 5,422.43
  4. Step 4: Simplify right side
    5,609.30x = 45,264,975.34
  5. Step 5: Solve for x
    x = 45,264,975.34/5,609.30
  6. Step 6: Final answer
    x = 8,069.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.