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Finding the Fourth Proportional to 3,713.53, 5,570.25 and 1,522.24

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Solution

The fourth proportional to 3,713.53, 5,570.25 and 1,522.24 is: 2,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.53 : 5,570.25 = 1,522.24 : x
  2. Step 2: Convert to fraction form
    3,713.53/5,570.25 = 1,522.24/x
  3. Step 3: Cross multiply
    3,713.53x = 5,570.25 × 1,522.24
  4. Step 4: Simplify right side
    3,713.53x = 8,479,257.36
  5. Step 5: Solve for x
    x = 8,479,257.36/3,713.53
  6. Step 6: Final answer
    x = 2,283.34

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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.