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Finding the Fourth Proportional to 5,590.38, 7,714.14 and 3,233.28

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Solution

The fourth proportional to 5,590.38, 7,714.14 and 3,233.28 is: 4,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.38 : 7,714.14 = 3,233.28 : x
  2. Step 2: Convert to fraction form
    5,590.38/7,714.14 = 3,233.28/x
  3. Step 3: Cross multiply
    5,590.38x = 7,714.14 × 3,233.28
  4. Step 4: Simplify right side
    5,590.38x = 24,941,974.58
  5. Step 5: Solve for x
    x = 24,941,974.58/5,590.38
  6. Step 6: Final answer
    x = 4,461.59

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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.