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Finding the Fourth Proportional to 5,570.84, 7,687.98 and 3,213.20

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Solution

The fourth proportional to 5,570.84, 7,687.98 and 3,213.20 is: 4,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.84 : 7,687.98 = 3,213.20 : x
  2. Step 2: Convert to fraction form
    5,570.84/7,687.98 = 3,213.20/x
  3. Step 3: Cross multiply
    5,570.84x = 7,687.98 × 3,213.20
  4. Step 4: Simplify right side
    5,570.84x = 24,703,017.34
  5. Step 5: Solve for x
    x = 24,703,017.34/5,570.84
  6. Step 6: Final answer
    x = 4,434.34

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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.