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Finding the Fourth Proportional to 3,973.84, 5,484.20 and 2,205.80

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Solution

The fourth proportional to 3,973.84, 5,484.20 and 2,205.80 is: 3,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.84 : 5,484.20 = 2,205.80 : x
  2. Step 2: Convert to fraction form
    3,973.84/5,484.20 = 2,205.80/x
  3. Step 3: Cross multiply
    3,973.84x = 5,484.20 × 2,205.80
  4. Step 4: Simplify right side
    3,973.84x = 12,097,048.36
  5. Step 5: Solve for x
    x = 12,097,048.36/3,973.84
  6. Step 6: Final answer
    x = 3,044.17

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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.