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Finding the Fourth Proportional to 4,195.76, 5,790.22 and 2,307.42

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Solution

The fourth proportional to 4,195.76, 5,790.22 and 2,307.42 is: 3,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.76 : 5,790.22 = 2,307.42 : x
  2. Step 2: Convert to fraction form
    4,195.76/5,790.22 = 2,307.42/x
  3. Step 3: Cross multiply
    4,195.76x = 5,790.22 × 2,307.42
  4. Step 4: Simplify right side
    4,195.76x = 13,360,469.43
  5. Step 5: Solve for x
    x = 13,360,469.43/4,195.76
  6. Step 6: Final answer
    x = 3,184.28

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