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Finding the Fourth Proportional to 6,199.61, 8,554.68 and 3,680.78

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Solution

The fourth proportional to 6,199.61, 8,554.68 and 3,680.78 is: 5,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.61 : 8,554.68 = 3,680.78 : x
  2. Step 2: Convert to fraction form
    6,199.61/8,554.68 = 3,680.78/x
  3. Step 3: Cross multiply
    6,199.61x = 8,554.68 × 3,680.78
  4. Step 4: Simplify right side
    6,199.61x = 31,487,852.28
  5. Step 5: Solve for x
    x = 31,487,852.28/6,199.61
  6. Step 6: Final answer
    x = 5,079.01

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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.