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Finding the Fourth Proportional to 4,863.71, 7,295.61 and 1,400.96

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Solution

The fourth proportional to 4,863.71, 7,295.61 and 1,400.96 is: 2,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.71 : 7,295.61 = 1,400.96 : x
  2. Step 2: Convert to fraction form
    4,863.71/7,295.61 = 1,400.96/x
  3. Step 3: Cross multiply
    4,863.71x = 7,295.61 × 1,400.96
  4. Step 4: Simplify right side
    4,863.71x = 10,220,857.79
  5. Step 5: Solve for x
    x = 10,220,857.79/4,863.71
  6. Step 6: Final answer
    x = 2,101.45

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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.