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Finding the Fourth Proportional to 4,251.81, 6,378.63 and 1,290

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Solution

The fourth proportional to 4,251.81, 6,378.63 and 1,290 is: 1,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.81 : 6,378.63 = 1,290 : x
  2. Step 2: Convert to fraction form
    4,251.81/6,378.63 = 1,290/x
  3. Step 3: Cross multiply
    4,251.81x = 6,378.63 × 1,290
  4. Step 4: Simplify right side
    4,251.81x = 8,228,432.70
  5. Step 5: Solve for x
    x = 8,228,432.70/4,251.81
  6. Step 6: Final answer
    x = 1,935.28

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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.