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Finding the Fourth Proportional to 4,087.38, 6,130.92 and 1,314

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Solution

The fourth proportional to 4,087.38, 6,130.92 and 1,314 is: 1,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.38 : 6,130.92 = 1,314 : x
  2. Step 2: Convert to fraction form
    4,087.38/6,130.92 = 1,314/x
  3. Step 3: Cross multiply
    4,087.38x = 6,130.92 × 1,314
  4. Step 4: Simplify right side
    4,087.38x = 8,056,028.88
  5. Step 5: Solve for x
    x = 8,056,028.88/4,087.38
  6. Step 6: Final answer
    x = 1,970.95

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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.