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Finding the Fourth Proportional to 3,973.80, 5,483.76 and 2,205.36

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Solution

The fourth proportional to 3,973.80, 5,483.76 and 2,205.36 is: 3,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.80 : 5,483.76 = 2,205.36 : x
  2. Step 2: Convert to fraction form
    3,973.80/5,483.76 = 2,205.36/x
  3. Step 3: Cross multiply
    3,973.80x = 5,483.76 × 2,205.36
  4. Step 4: Simplify right side
    3,973.80x = 12,093,664.95
  5. Step 5: Solve for x
    x = 12,093,664.95/3,973.80
  6. Step 6: Final answer
    x = 3,043.35

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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.