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Finding the Fourth Proportional to 5,364.34, 8,046.90 and 2,077.16

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Solution

The fourth proportional to 5,364.34, 8,046.90 and 2,077.16 is: 3,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.34 : 8,046.90 = 2,077.16 : x
  2. Step 2: Convert to fraction form
    5,364.34/8,046.90 = 2,077.16/x
  3. Step 3: Cross multiply
    5,364.34x = 8,046.90 × 2,077.16
  4. Step 4: Simplify right side
    5,364.34x = 16,714,698.80
  5. Step 5: Solve for x
    x = 16,714,698.80/5,364.34
  6. Step 6: Final answer
    x = 3,115.89

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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.