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Finding the Fourth Proportional to 3,903.92, 5,851.80 and 1,710.80

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Solution

The fourth proportional to 3,903.92, 5,851.80 and 1,710.80 is: 2,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.92 : 5,851.80 = 1,710.80 : x
  2. Step 2: Convert to fraction form
    3,903.92/5,851.80 = 1,710.80/x
  3. Step 3: Cross multiply
    3,903.92x = 5,851.80 × 1,710.80
  4. Step 4: Simplify right side
    3,903.92x = 10,011,259.44
  5. Step 5: Solve for x
    x = 10,011,259.44/3,903.92
  6. Step 6: Final answer
    x = 2,564.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.