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Finding the Fourth Proportional to 4,476.87, 6,715.31 and 1,702.89

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Solution

The fourth proportional to 4,476.87, 6,715.31 and 1,702.89 is: 2,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.87 : 6,715.31 = 1,702.89 : x
  2. Step 2: Convert to fraction form
    4,476.87/6,715.31 = 1,702.89/x
  3. Step 3: Cross multiply
    4,476.87x = 6,715.31 × 1,702.89
  4. Step 4: Simplify right side
    4,476.87x = 11,435,425.73
  5. Step 5: Solve for x
    x = 11,435,425.73/4,476.87
  6. Step 6: Final answer
    x = 2,554.34

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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.