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Finding the Fourth Proportional to 5,590.13, 7,714.37 and 3,232.42

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Solution

The fourth proportional to 5,590.13, 7,714.37 and 3,232.42 is: 4,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.13 : 7,714.37 = 3,232.42 : x
  2. Step 2: Convert to fraction form
    5,590.13/7,714.37 = 3,232.42/x
  3. Step 3: Cross multiply
    5,590.13x = 7,714.37 × 3,232.42
  4. Step 4: Simplify right side
    5,590.13x = 24,936,072.67
  5. Step 5: Solve for x
    x = 24,936,072.67/5,590.13
  6. Step 6: Final answer
    x = 4,460.74

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