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Finding the Fourth Proportional to 3,751.86, 5,627.01 and 1,411.81

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Solution

The fourth proportional to 3,751.86, 5,627.01 and 1,411.81 is: 2,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.86 : 5,627.01 = 1,411.81 : x
  2. Step 2: Convert to fraction form
    3,751.86/5,627.01 = 1,411.81/x
  3. Step 3: Cross multiply
    3,751.86x = 5,627.01 × 1,411.81
  4. Step 4: Simplify right side
    3,751.86x = 7,944,270.07
  5. Step 5: Solve for x
    x = 7,944,270.07/3,751.86
  6. Step 6: Final answer
    x = 2,117.42

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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.