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Finding the Fourth Proportional to 5,609.84, 8,414.52 and 3,017.84

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Solution

The fourth proportional to 5,609.84, 8,414.52 and 3,017.84 is: 4,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.84 : 8,414.52 = 3,017.84 : x
  2. Step 2: Convert to fraction form
    5,609.84/8,414.52 = 3,017.84/x
  3. Step 3: Cross multiply
    5,609.84x = 8,414.52 × 3,017.84
  4. Step 4: Simplify right side
    5,609.84x = 25,393,675.04
  5. Step 5: Solve for x
    x = 25,393,675.04/5,609.84
  6. Step 6: Final answer
    x = 4,526.63

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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.