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Finding the Fourth Proportional to 3,803.66, 5,690.88 and 2,160.98

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Solution

The fourth proportional to 3,803.66, 5,690.88 and 2,160.98 is: 3,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.66 : 5,690.88 = 2,160.98 : x
  2. Step 2: Convert to fraction form
    3,803.66/5,690.88 = 2,160.98/x
  3. Step 3: Cross multiply
    3,803.66x = 5,690.88 × 2,160.98
  4. Step 4: Simplify right side
    3,803.66x = 12,297,877.86
  5. Step 5: Solve for x
    x = 12,297,877.86/3,803.66
  6. Step 6: Final answer
    x = 3,233.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.