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Finding the Fourth Proportional to 5,871.98, 8,811.36 and 2,176.76

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Solution

The fourth proportional to 5,871.98, 8,811.36 and 2,176.76 is: 3,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.98 : 8,811.36 = 2,176.76 : x
  2. Step 2: Convert to fraction form
    5,871.98/8,811.36 = 2,176.76/x
  3. Step 3: Cross multiply
    5,871.98x = 8,811.36 × 2,176.76
  4. Step 4: Simplify right side
    5,871.98x = 19,180,238.02
  5. Step 5: Solve for x
    x = 19,180,238.02/5,871.98
  6. Step 6: Final answer
    x = 3,266.40

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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.