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Finding the Fourth Proportional to 5,835.90, 8,051.82 and 3,598.14

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Solution

The fourth proportional to 5,835.90, 8,051.82 and 3,598.14 is: 4,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.90 : 8,051.82 = 3,598.14 : x
  2. Step 2: Convert to fraction form
    5,835.90/8,051.82 = 3,598.14/x
  3. Step 3: Cross multiply
    5,835.90x = 8,051.82 × 3,598.14
  4. Step 4: Simplify right side
    5,835.90x = 28,971,575.61
  5. Step 5: Solve for x
    x = 28,971,575.61/5,835.90
  6. Step 6: Final answer
    x = 4,964.37

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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.