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Finding the Fourth Proportional to 5,874.30, 8,812.86 and 1,714.32

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Solution

The fourth proportional to 5,874.30, 8,812.86 and 1,714.32 is: 2,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.30 : 8,812.86 = 1,714.32 : x
  2. Step 2: Convert to fraction form
    5,874.30/8,812.86 = 1,714.32/x
  3. Step 3: Cross multiply
    5,874.30x = 8,812.86 × 1,714.32
  4. Step 4: Simplify right side
    5,874.30x = 15,108,062.16
  5. Step 5: Solve for x
    x = 15,108,062.16/5,874.30
  6. Step 6: Final answer
    x = 2,571.89

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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.