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Finding the Fourth Proportional to 5,647.86, 8,462.34 and 4,254.12

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Solution

The fourth proportional to 5,647.86, 8,462.34 and 4,254.12 is: 6,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.86 : 8,462.34 = 4,254.12 : x
  2. Step 2: Convert to fraction form
    5,647.86/8,462.34 = 4,254.12/x
  3. Step 3: Cross multiply
    5,647.86x = 8,462.34 × 4,254.12
  4. Step 4: Simplify right side
    5,647.86x = 35,999,809.84
  5. Step 5: Solve for x
    x = 35,999,809.84/5,647.86
  6. Step 6: Final answer
    x = 6,374.06

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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.