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Finding the Fourth Proportional to 5,664.41, 8,494.05 and 1,714.14

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Solution

The fourth proportional to 5,664.41, 8,494.05 and 1,714.14 is: 2,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.41 : 8,494.05 = 1,714.14 : x
  2. Step 2: Convert to fraction form
    5,664.41/8,494.05 = 1,714.14/x
  3. Step 3: Cross multiply
    5,664.41x = 8,494.05 × 1,714.14
  4. Step 4: Simplify right side
    5,664.41x = 14,559,990.87
  5. Step 5: Solve for x
    x = 14,559,990.87/5,664.41
  6. Step 6: Final answer
    x = 2,570.43

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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.