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Finding the Fourth Proportional to 4,200.60, 5,801.05 and 3,461.88

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Solution

The fourth proportional to 4,200.60, 5,801.05 and 3,461.88 is: 4,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.60 : 5,801.05 = 3,461.88 : x
  2. Step 2: Convert to fraction form
    4,200.60/5,801.05 = 3,461.88/x
  3. Step 3: Cross multiply
    4,200.60x = 5,801.05 × 3,461.88
  4. Step 4: Simplify right side
    4,200.60x = 20,082,538.97
  5. Step 5: Solve for x
    x = 20,082,538.97/4,200.60
  6. Step 6: Final answer
    x = 4,780.87

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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.