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Finding the Fourth Proportional to 3,973.70, 5,483.42 and 2,205.20

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Solution

The fourth proportional to 3,973.70, 5,483.42 and 2,205.20 is: 3,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.70 : 5,483.42 = 2,205.20 : x
  2. Step 2: Convert to fraction form
    3,973.70/5,483.42 = 2,205.20/x
  3. Step 3: Cross multiply
    3,973.70x = 5,483.42 × 2,205.20
  4. Step 4: Simplify right side
    3,973.70x = 12,092,037.78
  5. Step 5: Solve for x
    x = 12,092,037.78/3,973.70
  6. Step 6: Final answer
    x = 3,043.02

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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.