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Finding the Fourth Proportional to 5,589.89, 7,714.09 and 3,072.05

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Solution

The fourth proportional to 5,589.89, 7,714.09 and 3,072.05 is: 4,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.89 : 7,714.09 = 3,072.05 : x
  2. Step 2: Convert to fraction form
    5,589.89/7,714.09 = 3,072.05/x
  3. Step 3: Cross multiply
    5,589.89x = 7,714.09 × 3,072.05
  4. Step 4: Simplify right side
    5,589.89x = 23,698,070.18
  5. Step 5: Solve for x
    x = 23,698,070.18/5,589.89
  6. Step 6: Final answer
    x = 4,239.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.