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Finding the Fourth Proportional to 5,714.81, 8,562.82 and 3,518.90

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Solution

The fourth proportional to 5,714.81, 8,562.82 and 3,518.90 is: 5,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.81 : 8,562.82 = 3,518.90 : x
  2. Step 2: Convert to fraction form
    5,714.81/8,562.82 = 3,518.90/x
  3. Step 3: Cross multiply
    5,714.81x = 8,562.82 × 3,518.90
  4. Step 4: Simplify right side
    5,714.81x = 30,131,707.30
  5. Step 5: Solve for x
    x = 30,131,707.30/5,714.81
  6. Step 6: Final answer
    x = 5,272.57

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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.