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Finding the Fourth Proportional to 5,874.70, 8,107.06 and 3,636.13

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Solution

The fourth proportional to 5,874.70, 8,107.06 and 3,636.13 is: 5,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.70 : 8,107.06 = 3,636.13 : x
  2. Step 2: Convert to fraction form
    5,874.70/8,107.06 = 3,636.13/x
  3. Step 3: Cross multiply
    5,874.70x = 8,107.06 × 3,636.13
  4. Step 4: Simplify right side
    5,874.70x = 29,478,274.45
  5. Step 5: Solve for x
    x = 29,478,274.45/5,874.70
  6. Step 6: Final answer
    x = 5,017.84

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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.