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Finding the Fourth Proportional to 3,733.46, 5,561.88 and 3,564.98

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Solution

The fourth proportional to 3,733.46, 5,561.88 and 3,564.98 is: 5,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.46 : 5,561.88 = 3,564.98 : x
  2. Step 2: Convert to fraction form
    3,733.46/5,561.88 = 3,564.98/x
  3. Step 3: Cross multiply
    3,733.46x = 5,561.88 × 3,564.98
  4. Step 4: Simplify right side
    3,733.46x = 19,827,990.96
  5. Step 5: Solve for x
    x = 19,827,990.96/3,733.46
  6. Step 6: Final answer
    x = 5,310.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.