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Finding the Fourth Proportional to 3,973.65, 5,483.43 and 2,205.15

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Solution

The fourth proportional to 3,973.65, 5,483.43 and 2,205.15 is: 3,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.65 : 5,483.43 = 2,205.15 : x
  2. Step 2: Convert to fraction form
    3,973.65/5,483.43 = 2,205.15/x
  3. Step 3: Cross multiply
    3,973.65x = 5,483.43 × 2,205.15
  4. Step 4: Simplify right side
    3,973.65x = 12,091,785.66
  5. Step 5: Solve for x
    x = 12,091,785.66/3,973.65
  6. Step 6: Final answer
    x = 3,042.99

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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.