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Finding the Fourth Proportional to 5,604.95, 7,734.46 and 3,214.89

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Solution

The fourth proportional to 5,604.95, 7,734.46 and 3,214.89 is: 4,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.95 : 7,734.46 = 3,214.89 : x
  2. Step 2: Convert to fraction form
    5,604.95/7,734.46 = 3,214.89/x
  3. Step 3: Cross multiply
    5,604.95x = 7,734.46 × 3,214.89
  4. Step 4: Simplify right side
    5,604.95x = 24,865,438.11
  5. Step 5: Solve for x
    x = 24,865,438.11/5,604.95
  6. Step 6: Final answer
    x = 4,436.34

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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.