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Finding the Fourth Proportional to 5,702.75, 8,554.13 and 2,927.88

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Solution

The fourth proportional to 5,702.75, 8,554.13 and 2,927.88 is: 4,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.75 : 8,554.13 = 2,927.88 : x
  2. Step 2: Convert to fraction form
    5,702.75/8,554.13 = 2,927.88/x
  3. Step 3: Cross multiply
    5,702.75x = 8,554.13 × 2,927.88
  4. Step 4: Simplify right side
    5,702.75x = 25,045,451.51
  5. Step 5: Solve for x
    x = 25,045,451.51/5,702.75
  6. Step 6: Final answer
    x = 4,391.82

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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.