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Finding the Fourth Proportional to 3,817.07, 5,725.53 and 1,220.03

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Solution

The fourth proportional to 3,817.07, 5,725.53 and 1,220.03 is: 1,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.07 : 5,725.53 = 1,220.03 : x
  2. Step 2: Convert to fraction form
    3,817.07/5,725.53 = 1,220.03/x
  3. Step 3: Cross multiply
    3,817.07x = 5,725.53 × 1,220.03
  4. Step 4: Simplify right side
    3,817.07x = 6,985,289.74
  5. Step 5: Solve for x
    x = 6,985,289.74/3,817.07
  6. Step 6: Final answer
    x = 1,830.02

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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.