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Finding the Fourth Proportional to 4,513.34, 6,771.10 and 1,591.94

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Solution

The fourth proportional to 4,513.34, 6,771.10 and 1,591.94 is: 2,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.34 : 6,771.10 = 1,591.94 : x
  2. Step 2: Convert to fraction form
    4,513.34/6,771.10 = 1,591.94/x
  3. Step 3: Cross multiply
    4,513.34x = 6,771.10 × 1,591.94
  4. Step 4: Simplify right side
    4,513.34x = 10,779,184.93
  5. Step 5: Solve for x
    x = 10,779,184.93/4,513.34
  6. Step 6: Final answer
    x = 2,388.29

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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.