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Finding the Fourth Proportional to 3,483.56, 5,221.64 and 2,509.14

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Solution

The fourth proportional to 3,483.56, 5,221.64 and 2,509.14 is: 3,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.56 : 5,221.64 = 2,509.14 : x
  2. Step 2: Convert to fraction form
    3,483.56/5,221.64 = 2,509.14/x
  3. Step 3: Cross multiply
    3,483.56x = 5,221.64 × 2,509.14
  4. Step 4: Simplify right side
    3,483.56x = 13,101,825.79
  5. Step 5: Solve for x
    x = 13,101,825.79/3,483.56
  6. Step 6: Final answer
    x = 3,761.04

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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.