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Finding the Fourth Proportional to 6,433.24, 8,874.18 and 3,780.16

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Solution

The fourth proportional to 6,433.24, 8,874.18 and 3,780.16 is: 5,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.24 : 8,874.18 = 3,780.16 : x
  2. Step 2: Convert to fraction form
    6,433.24/8,874.18 = 3,780.16/x
  3. Step 3: Cross multiply
    6,433.24x = 8,874.18 × 3,780.16
  4. Step 4: Simplify right side
    6,433.24x = 33,545,820.27
  5. Step 5: Solve for x
    x = 33,545,820.27/6,433.24
  6. Step 6: Final answer
    x = 5,214.45

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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.