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Finding the Fourth Proportional to 3,842, 5,302.08 and 2,271.44

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Solution

The fourth proportional to 3,842, 5,302.08 and 2,271.44 is: 3,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842 : 5,302.08 = 2,271.44 : x
  2. Step 2: Convert to fraction form
    3,842/5,302.08 = 2,271.44/x
  3. Step 3: Cross multiply
    3,842x = 5,302.08 × 2,271.44
  4. Step 4: Simplify right side
    3,842x = 12,043,356.60
  5. Step 5: Solve for x
    x = 12,043,356.60/3,842
  6. Step 6: Final answer
    x = 3,134.66

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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.