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Finding the Fourth Proportional to 4,215.60, 6,323.10 and 1,293.78

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Solution

The fourth proportional to 4,215.60, 6,323.10 and 1,293.78 is: 1,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.60 : 6,323.10 = 1,293.78 : x
  2. Step 2: Convert to fraction form
    4,215.60/6,323.10 = 1,293.78/x
  3. Step 3: Cross multiply
    4,215.60x = 6,323.10 × 1,293.78
  4. Step 4: Simplify right side
    4,215.60x = 8,180,700.32
  5. Step 5: Solve for x
    x = 8,180,700.32/4,215.60
  6. Step 6: Final answer
    x = 1,940.58

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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.