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Finding the Fourth Proportional to 3,973.40, 5,483.36 and 2,205

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Solution

The fourth proportional to 3,973.40, 5,483.36 and 2,205 is: 3,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.40 : 5,483.36 = 2,205 : x
  2. Step 2: Convert to fraction form
    3,973.40/5,483.36 = 2,205/x
  3. Step 3: Cross multiply
    3,973.40x = 5,483.36 × 2,205
  4. Step 4: Simplify right side
    3,973.40x = 12,090,808.80
  5. Step 5: Solve for x
    x = 12,090,808.80/3,973.40
  6. Step 6: Final answer
    x = 3,042.94

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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.