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Finding the Fourth Proportional to 3,177.84, 4,743.55 and 2,943.33

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Solution

The fourth proportional to 3,177.84, 4,743.55 and 2,943.33 is: 4,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.84 : 4,743.55 = 2,943.33 : x
  2. Step 2: Convert to fraction form
    3,177.84/4,743.55 = 2,943.33/x
  3. Step 3: Cross multiply
    3,177.84x = 4,743.55 × 2,943.33
  4. Step 4: Simplify right side
    3,177.84x = 13,961,833.02
  5. Step 5: Solve for x
    x = 13,961,833.02/3,177.84
  6. Step 6: Final answer
    x = 4,393.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.