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Finding the Fourth Proportional to 4,212.58, 6,320 and 1,290.82

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Solution

The fourth proportional to 4,212.58, 6,320 and 1,290.82 is: 1,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.58 : 6,320 = 1,290.82 : x
  2. Step 2: Convert to fraction form
    4,212.58/6,320 = 1,290.82/x
  3. Step 3: Cross multiply
    4,212.58x = 6,320 × 1,290.82
  4. Step 4: Simplify right side
    4,212.58x = 8,157,982.40
  5. Step 5: Solve for x
    x = 8,157,982.40/4,212.58
  6. Step 6: Final answer
    x = 1,936.58

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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.