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Finding the Fourth Proportional to 5,622.75, 8,434.13 and 2,160

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Solution

The fourth proportional to 5,622.75, 8,434.13 and 2,160 is: 3,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.75 : 8,434.13 = 2,160 : x
  2. Step 2: Convert to fraction form
    5,622.75/8,434.13 = 2,160/x
  3. Step 3: Cross multiply
    5,622.75x = 8,434.13 × 2,160
  4. Step 4: Simplify right side
    5,622.75x = 18,217,710
  5. Step 5: Solve for x
    x = 18,217,710/5,622.75
  6. Step 6: Final answer
    x = 3,240

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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.