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Finding the Fourth Proportional to 5,714.84, 8,570.24 and 2,205.12

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Solution

The fourth proportional to 5,714.84, 8,570.24 and 2,205.12 is: 3,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.84 : 8,570.24 = 2,205.12 : x
  2. Step 2: Convert to fraction form
    5,714.84/8,570.24 = 2,205.12/x
  3. Step 3: Cross multiply
    5,714.84x = 8,570.24 × 2,205.12
  4. Step 4: Simplify right side
    5,714.84x = 18,898,407.63
  5. Step 5: Solve for x
    x = 18,898,407.63/5,714.84
  6. Step 6: Final answer
    x = 3,306.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.