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Finding the Fourth Proportional to 3,706.84, 5,560.56 and 1,109.76

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Solution

The fourth proportional to 3,706.84, 5,560.56 and 1,109.76 is: 1,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.84 : 5,560.56 = 1,109.76 : x
  2. Step 2: Convert to fraction form
    3,706.84/5,560.56 = 1,109.76/x
  3. Step 3: Cross multiply
    3,706.84x = 5,560.56 × 1,109.76
  4. Step 4: Simplify right side
    3,706.84x = 6,170,887.07
  5. Step 5: Solve for x
    x = 6,170,887.07/3,706.84
  6. Step 6: Final answer
    x = 1,664.73

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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.