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Finding the Fourth Proportional to 3,584.34, 5,377.64 and 1,119.51

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Solution

The fourth proportional to 3,584.34, 5,377.64 and 1,119.51 is: 1,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.34 : 5,377.64 = 1,119.51 : x
  2. Step 2: Convert to fraction form
    3,584.34/5,377.64 = 1,119.51/x
  3. Step 3: Cross multiply
    3,584.34x = 5,377.64 × 1,119.51
  4. Step 4: Simplify right side
    3,584.34x = 6,020,316.16
  5. Step 5: Solve for x
    x = 6,020,316.16/3,584.34
  6. Step 6: Final answer
    x = 1,679.62

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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.