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Finding the Fourth Proportional to 3,347.81, 4,620.47 and 1,931.23

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Solution

The fourth proportional to 3,347.81, 4,620.47 and 1,931.23 is: 2,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.81 : 4,620.47 = 1,931.23 : x
  2. Step 2: Convert to fraction form
    3,347.81/4,620.47 = 1,931.23/x
  3. Step 3: Cross multiply
    3,347.81x = 4,620.47 × 1,931.23
  4. Step 4: Simplify right side
    3,347.81x = 8,923,190.28
  5. Step 5: Solve for x
    x = 8,923,190.28/3,347.81
  6. Step 6: Final answer
    x = 2,665.38

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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.