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Finding the Fourth Proportional to 5,871.04, 8,102 and 3,387.04

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Solution

The fourth proportional to 5,871.04, 8,102 and 3,387.04 is: 4,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.04 : 8,102 = 3,387.04 : x
  2. Step 2: Convert to fraction form
    5,871.04/8,102 = 3,387.04/x
  3. Step 3: Cross multiply
    5,871.04x = 8,102 × 3,387.04
  4. Step 4: Simplify right side
    5,871.04x = 27,441,798.08
  5. Step 5: Solve for x
    x = 27,441,798.08/5,871.04
  6. Step 6: Final answer
    x = 4,674.09

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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.