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Finding the Fourth Proportional to 5,590.35, 7,714.80 and 3,072.69

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Solution

The fourth proportional to 5,590.35, 7,714.80 and 3,072.69 is: 4,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.35 : 7,714.80 = 3,072.69 : x
  2. Step 2: Convert to fraction form
    5,590.35/7,714.80 = 3,072.69/x
  3. Step 3: Cross multiply
    5,590.35x = 7,714.80 × 3,072.69
  4. Step 4: Simplify right side
    5,590.35x = 23,705,188.81
  5. Step 5: Solve for x
    x = 23,705,188.81/5,590.35
  6. Step 6: Final answer
    x = 4,240.38

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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.