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Finding the Fourth Proportional to 5,871.36, 8,101.80 and 3,354

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Solution

The fourth proportional to 5,871.36, 8,101.80 and 3,354 is: 4,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.36 : 8,101.80 = 3,354 : x
  2. Step 2: Convert to fraction form
    5,871.36/8,101.80 = 3,354/x
  3. Step 3: Cross multiply
    5,871.36x = 8,101.80 × 3,354
  4. Step 4: Simplify right side
    5,871.36x = 27,173,437.20
  5. Step 5: Solve for x
    x = 27,173,437.20/5,871.36
  6. Step 6: Final answer
    x = 4,628.13

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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.