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Finding the Fourth Proportional to 4,640.00, 6,403.46 and 2,752.70

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Solution

The fourth proportional to 4,640.00, 6,403.46 and 2,752.70 is: 3,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.00 : 6,403.46 = 2,752.70 : x
  2. Step 2: Convert to fraction form
    4,640.00/6,403.46 = 2,752.70/x
  3. Step 3: Cross multiply
    4,640.00x = 6,403.46 × 2,752.70
  4. Step 4: Simplify right side
    4,640.00x = 17,626,758.56
  5. Step 5: Solve for x
    x = 17,626,758.56/4,640.00
  6. Step 6: Final answer
    x = 3,798.87

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