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Finding the Fourth Proportional to 4,124.62, 6,185.71 and 1,202.01

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Solution

The fourth proportional to 4,124.62, 6,185.71 and 1,202.01 is: 1,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.62 : 6,185.71 = 1,202.01 : x
  2. Step 2: Convert to fraction form
    4,124.62/6,185.71 = 1,202.01/x
  3. Step 3: Cross multiply
    4,124.62x = 6,185.71 × 1,202.01
  4. Step 4: Simplify right side
    4,124.62x = 7,435,285.28
  5. Step 5: Solve for x
    x = 7,435,285.28/4,124.62
  6. Step 6: Final answer
    x = 1,802.66

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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.