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Finding the Fourth Proportional to 4,671.40, 6,450.42 and 4,173.16

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Solution

The fourth proportional to 4,671.40, 6,450.42 and 4,173.16 is: 5,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.40 : 6,450.42 = 4,173.16 : x
  2. Step 2: Convert to fraction form
    4,671.40/6,450.42 = 4,173.16/x
  3. Step 3: Cross multiply
    4,671.40x = 6,450.42 × 4,173.16
  4. Step 4: Simplify right side
    4,671.40x = 26,918,634.73
  5. Step 5: Solve for x
    x = 26,918,634.73/4,671.40
  6. Step 6: Final answer
    x = 5,762.43

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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.