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Finding the Fourth Proportional to 5,234.39, 7,845.63 and 2,598.59

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Solution

The fourth proportional to 5,234.39, 7,845.63 and 2,598.59 is: 3,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.39 : 7,845.63 = 2,598.59 : x
  2. Step 2: Convert to fraction form
    5,234.39/7,845.63 = 2,598.59/x
  3. Step 3: Cross multiply
    5,234.39x = 7,845.63 × 2,598.59
  4. Step 4: Simplify right side
    5,234.39x = 20,387,536.43
  5. Step 5: Solve for x
    x = 20,387,536.43/5,234.39
  6. Step 6: Final answer
    x = 3,894.92

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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.