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Finding the Fourth Proportional to 3,461.71, 5,193.24 and 1,270.45

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Solution

The fourth proportional to 3,461.71, 5,193.24 and 1,270.45 is: 1,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.71 : 5,193.24 = 1,270.45 : x
  2. Step 2: Convert to fraction form
    3,461.71/5,193.24 = 1,270.45/x
  3. Step 3: Cross multiply
    3,461.71x = 5,193.24 × 1,270.45
  4. Step 4: Simplify right side
    3,461.71x = 6,597,751.76
  5. Step 5: Solve for x
    x = 6,597,751.76/3,461.71
  6. Step 6: Final answer
    x = 1,905.92

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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.