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Finding the Fourth Proportional to 5,422.16, 8,146.20 and 3,478.16

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Solution

The fourth proportional to 5,422.16, 8,146.20 and 3,478.16 is: 5,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.16 : 8,146.20 = 3,478.16 : x
  2. Step 2: Convert to fraction form
    5,422.16/8,146.20 = 3,478.16/x
  3. Step 3: Cross multiply
    5,422.16x = 8,146.20 × 3,478.16
  4. Step 4: Simplify right side
    5,422.16x = 28,333,786.99
  5. Step 5: Solve for x
    x = 28,333,786.99/5,422.16
  6. Step 6: Final answer
    x = 5,225.55

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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.