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Finding the Fourth Proportional to 6,017.84, 8,306.28 and 3,778.16

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Solution

The fourth proportional to 6,017.84, 8,306.28 and 3,778.16 is: 5,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.84 : 8,306.28 = 3,778.16 : x
  2. Step 2: Convert to fraction form
    6,017.84/8,306.28 = 3,778.16/x
  3. Step 3: Cross multiply
    6,017.84x = 8,306.28 × 3,778.16
  4. Step 4: Simplify right side
    6,017.84x = 31,382,454.84
  5. Step 5: Solve for x
    x = 31,382,454.84/6,017.84
  6. Step 6: Final answer
    x = 5,214.90

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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.