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Finding the Fourth Proportional to 3,568.64, 4,923.93 and 2,241.86

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Solution

The fourth proportional to 3,568.64, 4,923.93 and 2,241.86 is: 3,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.64 : 4,923.93 = 2,241.86 : x
  2. Step 2: Convert to fraction form
    3,568.64/4,923.93 = 2,241.86/x
  3. Step 3: Cross multiply
    3,568.64x = 4,923.93 × 2,241.86
  4. Step 4: Simplify right side
    3,568.64x = 11,038,761.71
  5. Step 5: Solve for x
    x = 11,038,761.71/3,568.64
  6. Step 6: Final answer
    x = 3,093.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.