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Finding the Fourth Proportional to 3,654, 5,482.88 and 2,011.84

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Solution

The fourth proportional to 3,654, 5,482.88 and 2,011.84 is: 3,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 5,482.88 = 2,011.84 : x
  2. Step 2: Convert to fraction form
    3,654/5,482.88 = 2,011.84/x
  3. Step 3: Cross multiply
    3,654x = 5,482.88 × 2,011.84
  4. Step 4: Simplify right side
    3,654x = 11,030,677.30
  5. Step 5: Solve for x
    x = 11,030,677.30/3,654
  6. Step 6: Final answer
    x = 3,018.80

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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.