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Finding the Fourth Proportional to 3,714.16, 5,571.24 and 1,522.50

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Solution

The fourth proportional to 3,714.16, 5,571.24 and 1,522.50 is: 2,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.16 : 5,571.24 = 1,522.50 : x
  2. Step 2: Convert to fraction form
    3,714.16/5,571.24 = 1,522.50/x
  3. Step 3: Cross multiply
    3,714.16x = 5,571.24 × 1,522.50
  4. Step 4: Simplify right side
    3,714.16x = 8,482,212.90
  5. Step 5: Solve for x
    x = 8,482,212.90/3,714.16
  6. Step 6: Final answer
    x = 2,283.75

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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.