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Finding the Fourth Proportional to 3,643.79, 5,462.03 and 1,887.81

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Solution

The fourth proportional to 3,643.79, 5,462.03 and 1,887.81 is: 2,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.79 : 5,462.03 = 1,887.81 : x
  2. Step 2: Convert to fraction form
    3,643.79/5,462.03 = 1,887.81/x
  3. Step 3: Cross multiply
    3,643.79x = 5,462.03 × 1,887.81
  4. Step 4: Simplify right side
    3,643.79x = 10,311,259.09
  5. Step 5: Solve for x
    x = 10,311,259.09/3,643.79
  6. Step 6: Final answer
    x = 2,829.82

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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.