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Finding the Fourth Proportional to 5,810.43, 8,714.63 and 1,649.46

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Solution

The fourth proportional to 5,810.43, 8,714.63 and 1,649.46 is: 2,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.43 : 8,714.63 = 1,649.46 : x
  2. Step 2: Convert to fraction form
    5,810.43/8,714.63 = 1,649.46/x
  3. Step 3: Cross multiply
    5,810.43x = 8,714.63 × 1,649.46
  4. Step 4: Simplify right side
    5,810.43x = 14,374,435.38
  5. Step 5: Solve for x
    x = 14,374,435.38/5,810.43
  6. Step 6: Final answer
    x = 2,473.90

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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.