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Finding the Fourth Proportional to 3,750.86, 5,626.89 and 1,802.81

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Solution

The fourth proportional to 3,750.86, 5,626.89 and 1,802.81 is: 2,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.86 : 5,626.89 = 1,802.81 : x
  2. Step 2: Convert to fraction form
    3,750.86/5,626.89 = 1,802.81/x
  3. Step 3: Cross multiply
    3,750.86x = 5,626.89 × 1,802.81
  4. Step 4: Simplify right side
    3,750.86x = 10,144,185.43
  5. Step 5: Solve for x
    x = 10,144,185.43/3,750.86
  6. Step 6: Final answer
    x = 2,704.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.