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Finding the Fourth Proportional to 5,361.60, 8,028 and 4,370.37

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Solution

The fourth proportional to 5,361.60, 8,028 and 4,370.37 is: 6,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.60 : 8,028 = 4,370.37 : x
  2. Step 2: Convert to fraction form
    5,361.60/8,028 = 4,370.37/x
  3. Step 3: Cross multiply
    5,361.60x = 8,028 × 4,370.37
  4. Step 4: Simplify right side
    5,361.60x = 35,085,330.36
  5. Step 5: Solve for x
    x = 35,085,330.36/5,361.60
  6. Step 6: Final answer
    x = 6,543.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.