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Finding the Fourth Proportional to 3,678.60, 5,519.64 and 1,488.84

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Solution

The fourth proportional to 3,678.60, 5,519.64 and 1,488.84 is: 2,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.60 : 5,519.64 = 1,488.84 : x
  2. Step 2: Convert to fraction form
    3,678.60/5,519.64 = 1,488.84/x
  3. Step 3: Cross multiply
    3,678.60x = 5,519.64 × 1,488.84
  4. Step 4: Simplify right side
    3,678.60x = 8,217,860.82
  5. Step 5: Solve for x
    x = 8,217,860.82/3,678.60
  6. Step 6: Final answer
    x = 2,233.96

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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.