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Finding the Fourth Proportional to 3,685.84, 5,527.63 and 1,220.15

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Solution

The fourth proportional to 3,685.84, 5,527.63 and 1,220.15 is: 1,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.84 : 5,527.63 = 1,220.15 : x
  2. Step 2: Convert to fraction form
    3,685.84/5,527.63 = 1,220.15/x
  3. Step 3: Cross multiply
    3,685.84x = 5,527.63 × 1,220.15
  4. Step 4: Simplify right side
    3,685.84x = 6,744,531.64
  5. Step 5: Solve for x
    x = 6,744,531.64/3,685.84
  6. Step 6: Final answer
    x = 1,829.85

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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.