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Finding the Fourth Proportional to 5,229.04, 7,846.12 and 2,303.86

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Solution

The fourth proportional to 5,229.04, 7,846.12 and 2,303.86 is: 3,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.04 : 7,846.12 = 2,303.86 : x
  2. Step 2: Convert to fraction form
    5,229.04/7,846.12 = 2,303.86/x
  3. Step 3: Cross multiply
    5,229.04x = 7,846.12 × 2,303.86
  4. Step 4: Simplify right side
    5,229.04x = 18,076,362.02
  5. Step 5: Solve for x
    x = 18,076,362.02/5,229.04
  6. Step 6: Final answer
    x = 3,456.92

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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.