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Finding the Fourth Proportional to 4,763.70, 7,141.43 and 2,300.25

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Solution

The fourth proportional to 4,763.70, 7,141.43 and 2,300.25 is: 3,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.70 : 7,141.43 = 2,300.25 : x
  2. Step 2: Convert to fraction form
    4,763.70/7,141.43 = 2,300.25/x
  3. Step 3: Cross multiply
    4,763.70x = 7,141.43 × 2,300.25
  4. Step 4: Simplify right side
    4,763.70x = 16,427,062.86
  5. Step 5: Solve for x
    x = 16,427,062.86/4,763.70
  6. Step 6: Final answer
    x = 3,448.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.