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Finding the Fourth Proportional to 5,810.22, 8,714.58 and 1,861.16

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Solution

The fourth proportional to 5,810.22, 8,714.58 and 1,861.16 is: 2,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.22 : 8,714.58 = 1,861.16 : x
  2. Step 2: Convert to fraction form
    5,810.22/8,714.58 = 1,861.16/x
  3. Step 3: Cross multiply
    5,810.22x = 8,714.58 × 1,861.16
  4. Step 4: Simplify right side
    5,810.22x = 16,219,184.14
  5. Step 5: Solve for x
    x = 16,219,184.14/5,810.22
  6. Step 6: Final answer
    x = 2,791.49

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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.