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Finding the Fourth Proportional to 5,112.34, 7,055.00 and 2,874.22

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Solution

The fourth proportional to 5,112.34, 7,055.00 and 2,874.22 is: 3,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.34 : 7,055.00 = 2,874.22 : x
  2. Step 2: Convert to fraction form
    5,112.34/7,055.00 = 2,874.22/x
  3. Step 3: Cross multiply
    5,112.34x = 7,055.00 × 2,874.22
  4. Step 4: Simplify right side
    5,112.34x = 20,277,607.73
  5. Step 5: Solve for x
    x = 20,277,607.73/5,112.34
  6. Step 6: Final answer
    x = 3,966.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.