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Finding the Fourth Proportional to 3,503.34, 5,256.72 and 1,771.92

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Solution

The fourth proportional to 3,503.34, 5,256.72 and 1,771.92 is: 2,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.34 : 5,256.72 = 1,771.92 : x
  2. Step 2: Convert to fraction form
    3,503.34/5,256.72 = 1,771.92/x
  3. Step 3: Cross multiply
    3,503.34x = 5,256.72 × 1,771.92
  4. Step 4: Simplify right side
    3,503.34x = 9,314,487.30
  5. Step 5: Solve for x
    x = 9,314,487.30/3,503.34
  6. Step 6: Final answer
    x = 2,658.74

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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.