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Finding the Fourth Proportional to 3,973.78, 5,484.28 and 2,205.50

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Solution

The fourth proportional to 3,973.78, 5,484.28 and 2,205.50 is: 3,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.78 : 5,484.28 = 2,205.50 : x
  2. Step 2: Convert to fraction form
    3,973.78/5,484.28 = 2,205.50/x
  3. Step 3: Cross multiply
    3,973.78x = 5,484.28 × 2,205.50
  4. Step 4: Simplify right side
    3,973.78x = 12,095,541.09
  5. Step 5: Solve for x
    x = 12,095,541.09/3,973.78
  6. Step 6: Final answer
    x = 3,043.84

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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.