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Finding the Fourth Proportional to 3,333.76, 4,994.14 and 2,176

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Solution

The fourth proportional to 3,333.76, 4,994.14 and 2,176 is: 3,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.76 : 4,994.14 = 2,176 : x
  2. Step 2: Convert to fraction form
    3,333.76/4,994.14 = 2,176/x
  3. Step 3: Cross multiply
    3,333.76x = 4,994.14 × 2,176
  4. Step 4: Simplify right side
    3,333.76x = 10,867,248.64
  5. Step 5: Solve for x
    x = 10,867,248.64/3,333.76
  6. Step 6: Final answer
    x = 3,259.76

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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.