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Finding the Fourth Proportional to 3,590.96, 5,386.94 and 1,369.64

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Solution

The fourth proportional to 3,590.96, 5,386.94 and 1,369.64 is: 2,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.96 : 5,386.94 = 1,369.64 : x
  2. Step 2: Convert to fraction form
    3,590.96/5,386.94 = 1,369.64/x
  3. Step 3: Cross multiply
    3,590.96x = 5,386.94 × 1,369.64
  4. Step 4: Simplify right side
    3,590.96x = 7,378,134.72
  5. Step 5: Solve for x
    x = 7,378,134.72/3,590.96
  6. Step 6: Final answer
    x = 2,054.64

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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.