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Finding the Fourth Proportional to 5,817.54, 8,714.79 and 2,741.70

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Solution

The fourth proportional to 5,817.54, 8,714.79 and 2,741.70 is: 4,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.54 : 8,714.79 = 2,741.70 : x
  2. Step 2: Convert to fraction form
    5,817.54/8,714.79 = 2,741.70/x
  3. Step 3: Cross multiply
    5,817.54x = 8,714.79 × 2,741.70
  4. Step 4: Simplify right side
    5,817.54x = 23,893,339.74
  5. Step 5: Solve for x
    x = 23,893,339.74/5,817.54
  6. Step 6: Final answer
    x = 4,107.12

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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.