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Finding the Fourth Proportional to 3,749.60, 5,624.56 and 1,901.60

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Solution

The fourth proportional to 3,749.60, 5,624.56 and 1,901.60 is: 2,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.60 : 5,624.56 = 1,901.60 : x
  2. Step 2: Convert to fraction form
    3,749.60/5,624.56 = 1,901.60/x
  3. Step 3: Cross multiply
    3,749.60x = 5,624.56 × 1,901.60
  4. Step 4: Simplify right side
    3,749.60x = 10,695,663.30
  5. Step 5: Solve for x
    x = 10,695,663.30/3,749.60
  6. Step 6: Final answer
    x = 2,852.48

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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.