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Finding the Fourth Proportional to 3,222.86, 4,460.16 and 3,168.18

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Solution

The fourth proportional to 3,222.86, 4,460.16 and 3,168.18 is: 4,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.86 : 4,460.16 = 3,168.18 : x
  2. Step 2: Convert to fraction form
    3,222.86/4,460.16 = 3,168.18/x
  3. Step 3: Cross multiply
    3,222.86x = 4,460.16 × 3,168.18
  4. Step 4: Simplify right side
    3,222.86x = 14,130,589.71
  5. Step 5: Solve for x
    x = 14,130,589.71/3,222.86
  6. Step 6: Final answer
    x = 4,384.49

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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.