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Finding the Fourth Proportional to 5,714.30, 8,572.06 and 1,817.80

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Solution

The fourth proportional to 5,714.30, 8,572.06 and 1,817.80 is: 2,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.30 : 8,572.06 = 1,817.80 : x
  2. Step 2: Convert to fraction form
    5,714.30/8,572.06 = 1,817.80/x
  3. Step 3: Cross multiply
    5,714.30x = 8,572.06 × 1,817.80
  4. Step 4: Simplify right side
    5,714.30x = 15,582,290.67
  5. Step 5: Solve for x
    x = 15,582,290.67/5,714.30
  6. Step 6: Final answer
    x = 2,726.89

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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.