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Finding the Fourth Proportional to 5,941.88, 8,914.84 and 2,245.16

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Solution

The fourth proportional to 5,941.88, 8,914.84 and 2,245.16 is: 3,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.88 : 8,914.84 = 2,245.16 : x
  2. Step 2: Convert to fraction form
    5,941.88/8,914.84 = 2,245.16/x
  3. Step 3: Cross multiply
    5,941.88x = 8,914.84 × 2,245.16
  4. Step 4: Simplify right side
    5,941.88x = 20,015,242.17
  5. Step 5: Solve for x
    x = 20,015,242.17/5,941.88
  6. Step 6: Final answer
    x = 3,368.50

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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.