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Finding the Fourth Proportional to 4,628.58, 6,951.16 and 4,257.70

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Solution

The fourth proportional to 4,628.58, 6,951.16 and 4,257.70 is: 6,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.58 : 6,951.16 = 4,257.70 : x
  2. Step 2: Convert to fraction form
    4,628.58/6,951.16 = 4,257.70/x
  3. Step 3: Cross multiply
    4,628.58x = 6,951.16 × 4,257.70
  4. Step 4: Simplify right side
    4,628.58x = 29,595,953.93
  5. Step 5: Solve for x
    x = 29,595,953.93/4,628.58
  6. Step 6: Final answer
    x = 6,394.18

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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.