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Finding the Fourth Proportional to 4,706.25, 7,062.62 and 1,628.25

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Solution

The fourth proportional to 4,706.25, 7,062.62 and 1,628.25 is: 2,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.25 : 7,062.62 = 1,628.25 : x
  2. Step 2: Convert to fraction form
    4,706.25/7,062.62 = 1,628.25/x
  3. Step 3: Cross multiply
    4,706.25x = 7,062.62 × 1,628.25
  4. Step 4: Simplify right side
    4,706.25x = 11,499,702.87
  5. Step 5: Solve for x
    x = 11,499,702.87/4,706.25
  6. Step 6: Final answer
    x = 2,443.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.