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Finding the Fourth Proportional to 4,322, 6,488.04 and 2,013.68

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Solution

The fourth proportional to 4,322, 6,488.04 and 2,013.68 is: 3,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322 : 6,488.04 = 2,013.68 : x
  2. Step 2: Convert to fraction form
    4,322/6,488.04 = 2,013.68/x
  3. Step 3: Cross multiply
    4,322x = 6,488.04 × 2,013.68
  4. Step 4: Simplify right side
    4,322x = 13,064,836.39
  5. Step 5: Solve for x
    x = 13,064,836.39/4,322
  6. Step 6: Final answer
    x = 3,022.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.