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Finding the Fourth Proportional to 5,920.42, 8,170.02 and 3,267.78

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Solution

The fourth proportional to 5,920.42, 8,170.02 and 3,267.78 is: 4,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.42 : 8,170.02 = 3,267.78 : x
  2. Step 2: Convert to fraction form
    5,920.42/8,170.02 = 3,267.78/x
  3. Step 3: Cross multiply
    5,920.42x = 8,170.02 × 3,267.78
  4. Step 4: Simplify right side
    5,920.42x = 26,697,827.96
  5. Step 5: Solve for x
    x = 26,697,827.96/5,920.42
  6. Step 6: Final answer
    x = 4,509.45

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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.