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Finding the Fourth Proportional to 3,590.82, 5,387.60 and 1,401.07

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Solution

The fourth proportional to 3,590.82, 5,387.60 and 1,401.07 is: 2,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.82 : 5,387.60 = 1,401.07 : x
  2. Step 2: Convert to fraction form
    3,590.82/5,387.60 = 1,401.07/x
  3. Step 3: Cross multiply
    3,590.82x = 5,387.60 × 1,401.07
  4. Step 4: Simplify right side
    3,590.82x = 7,548,404.73
  5. Step 5: Solve for x
    x = 7,548,404.73/3,590.82
  6. Step 6: Final answer
    x = 2,102.14

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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.