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Finding the Fourth Proportional to 3,948.72, 5,917.43 and 2,900.50

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Solution

The fourth proportional to 3,948.72, 5,917.43 and 2,900.50 is: 4,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.72 : 5,917.43 = 2,900.50 : x
  2. Step 2: Convert to fraction form
    3,948.72/5,917.43 = 2,900.50/x
  3. Step 3: Cross multiply
    3,948.72x = 5,917.43 × 2,900.50
  4. Step 4: Simplify right side
    3,948.72x = 17,163,505.72
  5. Step 5: Solve for x
    x = 17,163,505.72/3,948.72
  6. Step 6: Final answer
    x = 4,346.60

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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.