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Finding the Fourth Proportional to 3,871.71, 5,804.27 and 1,533.36

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Solution

The fourth proportional to 3,871.71, 5,804.27 and 1,533.36 is: 2,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.71 : 5,804.27 = 1,533.36 : x
  2. Step 2: Convert to fraction form
    3,871.71/5,804.27 = 1,533.36/x
  3. Step 3: Cross multiply
    3,871.71x = 5,804.27 × 1,533.36
  4. Step 4: Simplify right side
    3,871.71x = 8,900,031.70
  5. Step 5: Solve for x
    x = 8,900,031.70/3,871.71
  6. Step 6: Final answer
    x = 2,298.73

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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.