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Finding the Fourth Proportional to 5,243.22, 7,854.50 and 2,771.91

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Solution

The fourth proportional to 5,243.22, 7,854.50 and 2,771.91 is: 4,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.22 : 7,854.50 = 2,771.91 : x
  2. Step 2: Convert to fraction form
    5,243.22/7,854.50 = 2,771.91/x
  3. Step 3: Cross multiply
    5,243.22x = 7,854.50 × 2,771.91
  4. Step 4: Simplify right side
    5,243.22x = 21,771,953.24
  5. Step 5: Solve for x
    x = 21,771,953.24/5,243.22
  6. Step 6: Final answer
    x = 4,152.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.