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Finding the Fourth Proportional to 5,702.70, 8,554.02 and 2,583.78

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Solution

The fourth proportional to 5,702.70, 8,554.02 and 2,583.78 is: 3,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.70 : 8,554.02 = 2,583.78 : x
  2. Step 2: Convert to fraction form
    5,702.70/8,554.02 = 2,583.78/x
  3. Step 3: Cross multiply
    5,702.70x = 8,554.02 × 2,583.78
  4. Step 4: Simplify right side
    5,702.70x = 22,101,705.80
  5. Step 5: Solve for x
    x = 22,101,705.80/5,702.70
  6. Step 6: Final answer
    x = 3,875.66

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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.