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Finding the Fourth Proportional to 3,702.00, 5,102.99 and 2,756.28

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Solution

The fourth proportional to 3,702.00, 5,102.99 and 2,756.28 is: 3,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.00 : 5,102.99 = 2,756.28 : x
  2. Step 2: Convert to fraction form
    3,702.00/5,102.99 = 2,756.28/x
  3. Step 3: Cross multiply
    3,702.00x = 5,102.99 × 2,756.28
  4. Step 4: Simplify right side
    3,702.00x = 14,065,273.92
  5. Step 5: Solve for x
    x = 14,065,273.92/3,702.00
  6. Step 6: Final answer
    x = 3,799.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.