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Finding the Fourth Proportional to 3,702.88, 5,554.32 and 966.88

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Solution

The fourth proportional to 3,702.88, 5,554.32 and 966.88 is: 1,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.88 : 5,554.32 = 966.88 : x
  2. Step 2: Convert to fraction form
    3,702.88/5,554.32 = 966.88/x
  3. Step 3: Cross multiply
    3,702.88x = 5,554.32 × 966.88
  4. Step 4: Simplify right side
    3,702.88x = 5,370,328.32
  5. Step 5: Solve for x
    x = 5,370,328.32/3,702.88
  6. Step 6: Final answer
    x = 1,450.31

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Similar ratio
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1.5x scale

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.