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Finding the Fourth Proportional to 4,263.69, 6,397.31 and 2,041.41

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Solution

The fourth proportional to 4,263.69, 6,397.31 and 2,041.41 is: 3,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.69 : 6,397.31 = 2,041.41 : x
  2. Step 2: Convert to fraction form
    4,263.69/6,397.31 = 2,041.41/x
  3. Step 3: Cross multiply
    4,263.69x = 6,397.31 × 2,041.41
  4. Step 4: Simplify right side
    4,263.69x = 13,059,532.61
  5. Step 5: Solve for x
    x = 13,059,532.61/4,263.69
  6. Step 6: Final answer
    x = 3,062.96

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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.