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Finding the Fourth Proportional to 4,102.14, 6,152.40 and 1,328.14

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Solution

The fourth proportional to 4,102.14, 6,152.40 and 1,328.14 is: 1,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.14 : 6,152.40 = 1,328.14 : x
  2. Step 2: Convert to fraction form
    4,102.14/6,152.40 = 1,328.14/x
  3. Step 3: Cross multiply
    4,102.14x = 6,152.40 × 1,328.14
  4. Step 4: Simplify right side
    4,102.14x = 8,171,248.54
  5. Step 5: Solve for x
    x = 8,171,248.54/4,102.14
  6. Step 6: Final answer
    x = 1,991.95

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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.