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Finding the Fourth Proportional to 5,714.42, 8,574.75 and 2,792.75

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Solution

The fourth proportional to 5,714.42, 8,574.75 and 2,792.75 is: 4,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.42 : 8,574.75 = 2,792.75 : x
  2. Step 2: Convert to fraction form
    5,714.42/8,574.75 = 2,792.75/x
  3. Step 3: Cross multiply
    5,714.42x = 8,574.75 × 2,792.75
  4. Step 4: Simplify right side
    5,714.42x = 23,947,090.19
  5. Step 5: Solve for x
    x = 23,947,090.19/5,714.42
  6. Step 6: Final answer
    x = 4,190.65

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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.