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Finding the Fourth Proportional to 3,678.64, 5,518.20 and 1,369.36

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Solution

The fourth proportional to 3,678.64, 5,518.20 and 1,369.36 is: 2,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.64 : 5,518.20 = 1,369.36 : x
  2. Step 2: Convert to fraction form
    3,678.64/5,518.20 = 1,369.36/x
  3. Step 3: Cross multiply
    3,678.64x = 5,518.20 × 1,369.36
  4. Step 4: Simplify right side
    3,678.64x = 7,556,402.35
  5. Step 5: Solve for x
    x = 7,556,402.35/3,678.64
  6. Step 6: Final answer
    x = 2,054.13

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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.