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Finding the Fourth Proportional to 5,929.39, 8,184.14 and 3,690

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Solution

The fourth proportional to 5,929.39, 8,184.14 and 3,690 is: 5,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.39 : 8,184.14 = 3,690 : x
  2. Step 2: Convert to fraction form
    5,929.39/8,184.14 = 3,690/x
  3. Step 3: Cross multiply
    5,929.39x = 8,184.14 × 3,690
  4. Step 4: Simplify right side
    5,929.39x = 30,199,476.60
  5. Step 5: Solve for x
    x = 30,199,476.60/5,929.39
  6. Step 6: Final answer
    x = 5,093.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.